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Simplifying 12 + -3(7 + -2t) = 3(t + -1) 12 + (7 * -3 + -2t * -3) = 3(t + -1) 12 + (-21 + 6t) = 3(t + -1) Combine like terms: 12 + -21 = -9 -9 + 6t = 3(t + -1) Reorder the terms: -9 + 6t = 3(-1 + t) -9 + 6t = (-1 * 3 + t * 3) -9 + 6t = (-3 + 3t) Solving -9 + 6t = -3 + 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. -9 + 6t + -3t = -3 + 3t + -3t Combine like terms: 6t + -3t = 3t -9 + 3t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 -9 + 3t = -3 + 0 -9 + 3t = -3 Add '9' to each side of the equation. -9 + 9 + 3t = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 3t = -3 + 9 3t = -3 + 9 Combine like terms: -3 + 9 = 6 3t = 6 Divide each side by '3'. t = 2 Simplifying t = 2
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