Question

What is the simplest form of

1. 15=-3(c-1)+9
2. 2(1.5n+4)-6n=-7
3. 2(z-20)+3z=10
4. 2/5s -2+3(s-11)=50

Answer 1

1. 15 = -3c +12
2. -3n +8 = -7
3. 5z -40 = 10
4. 3.4s -35 = 50

Explanation:

Usually, you're asked to "simplify" an equation, meaning that you eliminate parentheses and combine like terms. Asking for "simplest form" suggests something different. The simplest form is the form that has the variable equal to a constant--the solution, in other words.

We suspect you want the simplified form, but since you asked for the simplest form, that is here, too.

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1. 15=-3(c-1)+9

15 = -3c +3 +9

15 = -3c +12 . . . . . simplified form of the given equation

-1 = c . . . . . . . . . . "simplest" form

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2. 2(1.5n+4)-6n=-7

3n +8 -6n = -7

-3n +8 = -7 . . . . . . simplified form of the given equation

n = 5 . . . . . . . . . . . "simplest" form

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3. 2(z-20)+3z=10

2z -40 +3z = 10

5z -40 = 10 . . . . . . simplified form of the given equation

z = 10 . . . . . . . . . . "simplest" form

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4. 2/5s -2+3(s-11)=50

0.4s -2 +3s -33 = 50

3.4s -35 = 50 . . . . simplified form of the given equation

s = 25 . . . . . . . . . . "simplest" form