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Simplifying -3(t + -5) + 2(7 + 2t) = 36 Reorder the terms: -3(-5 + t) + 2(7 + 2t) = 36 (-5 * -3 + t * -3) + 2(7 + 2t) = 36 (15 + -3t) + 2(7 + 2t) = 36 15 + -3t + (7 * 2 + 2t * 2) = 36 15 + -3t + (14 + 4t) = 36 Reorder the terms: 15 + 14 + -3t + 4t = 36 Combine like terms: 15 + 14 = 29 29 + -3t + 4t = 36 Combine like terms: -3t + 4t = 1t 29 + 1t = 36 Solving 29 + 1t = 36 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 1t = 36 + -29 Combine like terms: 29 + -29 = 0 0 + 1t = 36 + -29 1t = 36 + -29 Combine like terms: 36 + -29 = 7 1t = 7 Divide each side by '1'. t = 7 Simplifying t = 7
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