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Simplifying 2(t + -4) + 2(t + 3) = -3(t + 4) + -3 Reorder the terms: 2(-4 + t) + 2(t + 3) = -3(t + 4) + -3 (-4 * 2 + t * 2) + 2(t + 3) = -3(t + 4) + -3 (-8 + 2t) + 2(t + 3) = -3(t + 4) + -3 Reorder the terms: -8 + 2t + 2(3 + t) = -3(t + 4) + -3 -8 + 2t + (3 * 2 + t * 2) = -3(t + 4) + -3 -8 + 2t + (6 + 2t) = -3(t + 4) + -3 Reorder the terms: -8 + 6 + 2t + 2t = -3(t + 4) + -3 Combine like terms: -8 + 6 = -2 -2 + 2t + 2t = -3(t + 4) + -3 Combine like terms: 2t + 2t = 4t -2 + 4t = -3(t + 4) + -3 Reorder the terms: -2 + 4t = -3(4 + t) + -3 -2 + 4t = (4 * -3 + t * -3) + -3 -2 + 4t = (-12 + -3t) + -3 Reorder the terms: -2 + 4t = -12 + -3 + -3t Combine like terms: -12 + -3 = -15 -2 + 4t = -15 + -3t Solving -2 + 4t = -15 + -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. -2 + 4t + 3t = -15 + -3t + 3t Combine like terms: 4t + 3t = 7t -2 + 7t = -15 + -3t + 3t Combine like terms: -3t + 3t = 0 -2 + 7t = -15 + 0 -2 + 7t = -15 Add '2' to each side of the equation. -2 + 2 + 7t = -15 + 2 Combine like terms: -2 + 2 = 0 0 + 7t = -15 + 2 7t = -15 + 2 Combine like terms: -15 + 2 = -13 7t = -13 Divide each side by '7'. t = -1.857142857 Simplifying t = -1.857142857
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