Answer: b = 100
Explanation:
simplifying
2.02b + 4.30 = 2.00b + 6.30
reorder the terms:
4.30 + 2.02b = 2.00b + 6.30
reorder the terms:
4.30 + 2.02b = 6.30 + 2.00b
solving
4.30 + 2.02b = 6.30 + 2.00b
solving for variable 'b'.
move all terms containing b to the left, all other terms to the right.
add '-2.00b' to each side of the equation.
4.30 + 2.02b + -2.00b = 6.30 + 2.00b + -2.00b
combine like terms: 2.02b + -2.00b = 0.02b
4.30 + 0.02b = 6.30 + 2.00b + -2.00b
combine like terms: 2.00b + -2.00b = 0.00
4.30 + 0.02b = 6.30 + 0.00
4.30 + 0.02b = 6.30
add '-4.30' to each side of the equation.
4.30 + -4.30 + 0.02b = 6.30 + -4.30
combine like terms: 4.30 + -4.30 = 0.00
0.00 + 0.02b = 6.30 + -4.30
0.02b = 6.30 + -4.30
combine like terms: 6.30 + -4.30 = 2
0.02b = 2
divide each side by '0.02'.
getting: b = 100