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Simplifying 30 + -5(7 + -2t) = 5(t + -1) 30 + (7 * -5 + -2t * -5) = 5(t + -1) 30 + (-35 + 10t) = 5(t + -1) Combine like terms: 30 + -35 = -5 -5 + 10t = 5(t + -1) Reorder the terms: -5 + 10t = 5(-1 + t) -5 + 10t = (-1 * 5 + t * 5) -5 + 10t = (-5 + 5t) Add '5' to each side of the equation. -5 + 5 + 10t = -5 + 5 + 5t Combine like terms: -5 + 5 = 0 0 + 10t = -5 + 5 + 5t 10t = -5 + 5 + 5t Combine like terms: -5 + 5 = 0 10t = 0 + 5t 10t = 5t Solving 10t = 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 10t + -5t = 5t + -5t Combine like terms: 10t + -5t = 5t 5t = 5t + -5t Combine like terms: 5t + -5t = 0 5t = 0 Divide each side by '5'. t = 0 Simplifying t = 0
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