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Simplifying -3(4t + -5) = 5(6 + -2t) Reorder the terms: -3(-5 + 4t) = 5(6 + -2t) (-5 * -3 + 4t * -3) = 5(6 + -2t) (15 + -12t) = 5(6 + -2t) 15 + -12t = (6 * 5 + -2t * 5) 15 + -12t = (30 + -10t) Solving 15 + -12t = 30 + -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 + -12t + 10t = 30 + -10t + 10t Combine like terms: -12t + 10t = -2t 15 + -2t = 30 + -10t + 10t Combine like terms: -10t + 10t = 0 15 + -2t = 30 + 0 15 + -2t = 30 Add '-15' to each side of the equation. 15 + -15 + -2t = 30 + -15 Combine like terms: 15 + -15 = 0 0 + -2t = 30 + -15 -2t = 30 + -15 Combine like terms: 30 + -15 = 15 -2t = 15 Divide each side by '-2'. t = -7.5 Simplifying t = -7.5
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