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Simplifying 3(t + -6) + 2(t + 2) = 3(t + 5) + -3 Reorder the terms: 3(-6 + t) + 2(t + 2) = 3(t + 5) + -3 (-6 * 3 + t * 3) + 2(t + 2) = 3(t + 5) + -3 (-18 + 3t) + 2(t + 2) = 3(t + 5) + -3 Reorder the terms: -18 + 3t + 2(2 + t) = 3(t + 5) + -3 -18 + 3t + (2 * 2 + t * 2) = 3(t + 5) + -3 -18 + 3t + (4 + 2t) = 3(t + 5) + -3 Reorder the terms: -18 + 4 + 3t + 2t = 3(t + 5) + -3 Combine like terms: -18 + 4 = -14 -14 + 3t + 2t = 3(t + 5) + -3 Combine like terms: 3t + 2t = 5t -14 + 5t = 3(t + 5) + -3 Reorder the terms: -14 + 5t = 3(5 + t) + -3 -14 + 5t = (5 * 3 + t * 3) + -3 -14 + 5t = (15 + 3t) + -3 Reorder the terms: -14 + 5t = 15 + -3 + 3t Combine like terms: 15 + -3 = 12 -14 + 5t = 12 + 3t Solving -14 + 5t = 12 + 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. -14 + 5t + -3t = 12 + 3t + -3t Combine like terms: 5t + -3t = 2t -14 + 2t = 12 + 3t + -3t Combine like terms: 3t + -3t = 0 -14 + 2t = 12 + 0 -14 + 2t = 12 Add '14' to each side of the equation. -14 + 14 + 2t = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 2t = 12 + 14 2t = 12 + 14 Combine like terms: 12 + 14 = 26 2t = 26 Divide each side by '2'. t = 13 Simplifying t = 13
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