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Simplifying 3(t + -4) + -7(2t + -3) = 15 + -8(3t + 2) Reorder the terms: 3(-4 + t) + -7(2t + -3) = 15 + -8(3t + 2) (-4 * 3 + t * 3) + -7(2t + -3) = 15 + -8(3t + 2) (-12 + 3t) + -7(2t + -3) = 15 + -8(3t + 2) Reorder the terms: -12 + 3t + -7(-3 + 2t) = 15 + -8(3t + 2) -12 + 3t + (-3 * -7 + 2t * -7) = 15 + -8(3t + 2) -12 + 3t + (21 + -14t) = 15 + -8(3t + 2) Reorder the terms: -12 + 21 + 3t + -14t = 15 + -8(3t + 2) Combine like terms: -12 + 21 = 9 9 + 3t + -14t = 15 + -8(3t + 2) Combine like terms: 3t + -14t = -11t 9 + -11t = 15 + -8(3t + 2) Reorder the terms: 9 + -11t = 15 + -8(2 + 3t) 9 + -11t = 15 + (2 * -8 + 3t * -8) 9 + -11t = 15 + (-16 + -24t) Combine like terms: 15 + -16 = -1 9 + -11t = -1 + -24t Solving 9 + -11t = -1 + -24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24t' to each side of the equation. 9 + -11t + 24t = -1 + -24t + 24t Combine like terms: -11t + 24t = 13t 9 + 13t = -1 + -24t + 24t Combine like terms: -24t + 24t = 0 9 + 13t = -1 + 0 9 + 13t = -1 Add '-9' to each side of the equation. 9 + -9 + 13t = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 13t = -1 + -9 13t = -1 + -9 Combine like terms: -1 + -9 = -10 13t = -10 Divide each side by '13'. t = -0.7692307692 Simplifying t = -0.7692307692
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