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Simplifying -3(2t + 5) = 2(5t + 7) Reorder the terms: -3(5 + 2t) = 2(5t + 7) (5 * -3 + 2t * -3) = 2(5t + 7) (-15 + -6t) = 2(5t + 7) Reorder the terms: -15 + -6t = 2(7 + 5t) -15 + -6t = (7 * 2 + 5t * 2) -15 + -6t = (14 + 10t) Solving -15 + -6t = 14 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -15 + -6t + -10t = 14 + 10t + -10t Combine like terms: -6t + -10t = -16t -15 + -16t = 14 + 10t + -10t Combine like terms: 10t + -10t = 0 -15 + -16t = 14 + 0 -15 + -16t = 14 Add '15' to each side of the equation. -15 + 15 + -16t = 14 + 15 Combine like terms: -15 + 15 = 0 0 + -16t = 14 + 15 -16t = 14 + 15 Combine like terms: 14 + 15 = 29 -16t = 29 Divide each side by '-16'. t = -1.8125 Simplifying t = -1.8125
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