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Simplifying -3(t + -4) + -17 = -2(t + 1) Reorder the terms: -3(-4 + t) + -17 = -2(t + 1) (-4 * -3 + t * -3) + -17 = -2(t + 1) (12 + -3t) + -17 = -2(t + 1) Reorder the terms: 12 + -17 + -3t = -2(t + 1) Combine like terms: 12 + -17 = -5 -5 + -3t = -2(t + 1) Reorder the terms: -5 + -3t = -2(1 + t) -5 + -3t = (1 * -2 + t * -2) -5 + -3t = (-2 + -2t) Solving -5 + -3t = -2 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -5 + -3t + 2t = -2 + -2t + 2t Combine like terms: -3t + 2t = -1t -5 + -1t = -2 + -2t + 2t Combine like terms: -2t + 2t = 0 -5 + -1t = -2 + 0 -5 + -1t = -2 Add '5' to each side of the equation. -5 + 5 + -1t = -2 + 5 Combine like terms: -5 + 5 = 0 0 + -1t = -2 + 5 -1t = -2 + 5 Combine like terms: -2 + 5 = 3 -1t = 3 Divide each side by '-1'. t = -3 Simplifying t = -3
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