Simplifying 5(t + 7) = 2(2t + 7)
Reorder the terms: 5(7 + t) = 2(2t + 7) (7 * 5 + t * 5) = 2(2t + 7) (35 + 5t) = 2(2t + 7)
Reorder the terms: 35 + 5t = 2(7 + 2t) 35 + 5t = (7 * 2 + 2t * 2) 35 + 5t = (14 + 4t)
Solving 35 + 5t = 14 + 4t
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-4t' to each side of the equation.
35 + 5t + -4t = 14 + 4t + -4t
Combine like terms: 5t + -4t = 1t 35 + 1t = 14 + 4t + -4t
Combine like terms: 4t + -4t = 0 35 + 1t = 14 + 0 35 + 1t = 14
Add '-35' to each side of the equation. 35 + -35 + 1t = 14 + -35
Combine like terms: 35 + -35 = 0 0 + 1t = 14 + -35 1t = 14 + -35
Combine like terms: 14 + -35 = -21 1t = -21
Divide each side by '1'. t = -21
Simplifying t = -21