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Simplifying -3(t + -5) + 2(7t + 2t) = 36 Reorder the terms: -3(-5 + t) + 2(7t + 2t) = 36 (-5 * -3 + t * -3) + 2(7t + 2t) = 36 (15 + -3t) + 2(7t + 2t) = 36 Combine like terms: 7t + 2t = 9t 15 + -3t + 2(9t) = 36 Remove parenthesis around (9t) 15 + -3t + 2 * 9t = 36 Multiply 2 * 9 15 + -3t + 18t = 36 Combine like terms: -3t + 18t = 15t 15 + 15t = 36 Solving 15 + 15t = 36 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 15t = 36 + -15 Combine like terms: 15 + -15 = 0 0 + 15t = 36 + -15 15t = 36 + -15 Combine like terms: 36 + -15 = 21 15t = 21 Divide each side by '15'. t = 1.4 Simplifying t = 1.4
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