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Simplifying 2(t + -4) + 3(t + 5) = 2t + -2 Reorder the terms: 2(-4 + t) + 3(t + 5) = 2t + -2 (-4 * 2 + t * 2) + 3(t + 5) = 2t + -2 (-8 + 2t) + 3(t + 5) = 2t + -2 Reorder the terms: -8 + 2t + 3(5 + t) = 2t + -2 -8 + 2t + (5 * 3 + t * 3) = 2t + -2 -8 + 2t + (15 + 3t) = 2t + -2 Reorder the terms: -8 + 15 + 2t + 3t = 2t + -2 Combine like terms: -8 + 15 = 7 7 + 2t + 3t = 2t + -2 Combine like terms: 2t + 3t = 5t 7 + 5t = 2t + -2 Reorder the terms: 7 + 5t = -2 + 2t Solving 7 + 5t = -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. 7 + 5t + -2t = -2 + 2t + -2t Combine like terms: 5t + -2t = 3t 7 + 3t = -2 + 2t + -2t Combine like terms: 2t + -2t = 0 7 + 3t = -2 + 0 7 + 3t = -2 Add '-7' to each side of the equation. 7 + -7 + 3t = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 3t = -2 + -7 3t = -2 + -7 Combine like terms: -2 + -7 = -9 3t = -9 Divide each side by '3'. t = -3 Simplifying t = -3
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