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Simplifying 12 + -3(5 + -2t) = 3(t + -1) 12 + (5 * -3 + -2t * -3) = 3(t + -1) 12 + (-15 + 6t) = 3(t + -1) Combine like terms: 12 + -15 = -3 -3 + 6t = 3(t + -1) Reorder the terms: -3 + 6t = 3(-1 + t) -3 + 6t = (-1 * 3 + t * 3) -3 + 6t = (-3 + 3t) Add '3' to each side of the equation. -3 + 3 + 6t = -3 + 3 + 3t Combine like terms: -3 + 3 = 0 0 + 6t = -3 + 3 + 3t 6t = -3 + 3 + 3t Combine like terms: -3 + 3 = 0 6t = 0 + 3t 6t = 3t Solving 6t = 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 6t + -3t = 3t + -3t Combine like terms: 6t + -3t = 3t 3t = 3t + -3t Combine like terms: 3t + -3t = 0 3t = 0 Divide each side by '3'. t = 0 Simplifying t = 0
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