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Simplifying -3(t + -2) + 9 = 1(t + 3) Reorder the terms: -3(-2 + t) + 9 = 1(t + 3) (-2 * -3 + t * -3) + 9 = 1(t + 3) (6 + -3t) + 9 = 1(t + 3) Reorder the terms: 6 + 9 + -3t = 1(t + 3) Combine like terms: 6 + 9 = 15 15 + -3t = 1(t + 3) Reorder the terms: 15 + -3t = 1(3 + t) 15 + -3t = (3 * 1 + t * 1) 15 + -3t = (3 + 1t) Solving 15 + -3t = 3 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 15 + -3t + -1t = 3 + 1t + -1t Combine like terms: -3t + -1t = -4t 15 + -4t = 3 + 1t + -1t Combine like terms: 1t + -1t = 0 15 + -4t = 3 + 0 15 + -4t = 3 Add '-15' to each side of the equation. 15 + -15 + -4t = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -4t = 3 + -15 -4t = 3 + -15 Combine like terms: 3 + -15 = -12 -4t = -12 Divide each side by '-4'. t = 3 Simplifying t = 3
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