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Simplifying 2(t + -4) + 2(t + 6) = -3(t + 5) + -3 Reorder the terms: 2(-4 + t) + 2(t + 6) = -3(t + 5) + -3 (-4 * 2 + t * 2) + 2(t + 6) = -3(t + 5) + -3 (-8 + 2t) + 2(t + 6) = -3(t + 5) + -3 Reorder the terms: -8 + 2t + 2(6 + t) = -3(t + 5) + -3 -8 + 2t + (6 * 2 + t * 2) = -3(t + 5) + -3 -8 + 2t + (12 + 2t) = -3(t + 5) + -3 Reorder the terms: -8 + 12 + 2t + 2t = -3(t + 5) + -3 Combine like terms: -8 + 12 = 4 4 + 2t + 2t = -3(t + 5) + -3 Combine like terms: 2t + 2t = 4t 4 + 4t = -3(t + 5) + -3 Reorder the terms: 4 + 4t = -3(5 + t) + -3 4 + 4t = (5 * -3 + t * -3) + -3 4 + 4t = (-15 + -3t) + -3 Reorder the terms: 4 + 4t = -15 + -3 + -3t Combine like terms: -15 + -3 = -18 4 + 4t = -18 + -3t Solving 4 + 4t = -18 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 4 + 4t + 3t = -18 + -3t + 3t Combine like terms: 4t + 3t = 7t 4 + 7t = -18 + -3t + 3t Combine like terms: -3t + 3t = 0 4 + 7t = -18 + 0 4 + 7t = -18 Add '-4' to each side of the equation. 4 + -4 + 7t = -18 + -4 Combine like terms: 4 + -4 = 0 0 + 7t = -18 + -4 7t = -18 + -4 Combine like terms: -18 + -4 = -22 7t = -22 Divide each side by '7'. t = -3.142857143 Simplifying t = -3.142857143
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