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Simplifying -1(t + -5) + 3t = 4(3t + 5) + -8 Reorder the terms: -1(-5 + t) + 3t = 4(3t + 5) + -8 (-5 * -1 + t * -1) + 3t = 4(3t + 5) + -8 (5 + -1t) + 3t = 4(3t + 5) + -8 Combine like terms: -1t + 3t = 2t 5 + 2t = 4(3t + 5) + -8 Reorder the terms: 5 + 2t = 4(5 + 3t) + -8 5 + 2t = (5 * 4 + 3t * 4) + -8 5 + 2t = (20 + 12t) + -8 Reorder the terms: 5 + 2t = 20 + -8 + 12t Combine like terms: 20 + -8 = 12 5 + 2t = 12 + 12t Solving 5 + 2t = 12 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 5 + 2t + -12t = 12 + 12t + -12t Combine like terms: 2t + -12t = -10t 5 + -10t = 12 + 12t + -12t Combine like terms: 12t + -12t = 0 5 + -10t = 12 + 0 5 + -10t = 12 Add '-5' to each side of the equation. 5 + -5 + -10t = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -10t = 12 + -5 -10t = 12 + -5 Combine like terms: 12 + -5 = 7 -10t = 7 Divide each side by '-10'. t = -0.7 Simplifying t = -0.7
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