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Simplifying 3(t + -6) + -2(2t + -3) = 18 + -8(3t + 4) Reorder the terms: 3(-6 + t) + -2(2t + -3) = 18 + -8(3t + 4) (-6 * 3 + t * 3) + -2(2t + -3) = 18 + -8(3t + 4) (-18 + 3t) + -2(2t + -3) = 18 + -8(3t + 4) Reorder the terms: -18 + 3t + -2(-3 + 2t) = 18 + -8(3t + 4) -18 + 3t + (-3 * -2 + 2t * -2) = 18 + -8(3t + 4) -18 + 3t + (6 + -4t) = 18 + -8(3t + 4) Reorder the terms: -18 + 6 + 3t + -4t = 18 + -8(3t + 4) Combine like terms: -18 + 6 = -12 -12 + 3t + -4t = 18 + -8(3t + 4) Combine like terms: 3t + -4t = -1t -12 + -1t = 18 + -8(3t + 4) Reorder the terms: -12 + -1t = 18 + -8(4 + 3t) -12 + -1t = 18 + (4 * -8 + 3t * -8) -12 + -1t = 18 + (-32 + -24t) Combine like terms: 18 + -32 = -14 -12 + -1t = -14 + -24t Solving -12 + -1t = -14 + -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. -12 + -1t + 24t = -14 + -24t + 24t Combine like terms: -1t + 24t = 23t -12 + 23t = -14 + -24t + 24t Combine like terms: -24t + 24t = 0 -12 + 23t = -14 + 0 -12 + 23t = -14 Add '12' to each side of the equation. -12 + 12 + 23t = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 23t = -14 + 12 23t = -14 + 12 Combine like terms: -14 + 12 = -2 23t = -2 Divide each side by '23'. t = -0.08695652174 Simplifying t = -0.08695652174
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