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Simplifying 20 + -5(7 + -2t) = 5(t + -1) 20 + (7 * -5 + -2t * -5) = 5(t + -1) 20 + (-35 + 10t) = 5(t + -1) Combine like terms: 20 + -35 = -15 -15 + 10t = 5(t + -1) Reorder the terms: -15 + 10t = 5(-1 + t) -15 + 10t = (-1 * 5 + t * 5) -15 + 10t = (-5 + 5t) Solving -15 + 10t = -5 + 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. -15 + 10t + -5t = -5 + 5t + -5t Combine like terms: 10t + -5t = 5t -15 + 5t = -5 + 5t + -5t Combine like terms: 5t + -5t = 0 -15 + 5t = -5 + 0 -15 + 5t = -5 Add '15' to each side of the equation. -15 + 15 + 5t = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 5t = -5 + 15 5t = -5 + 15 Combine like terms: -5 + 15 = 10 5t = 10 Divide each side by '5'. t = 2 Simplifying t = 2
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