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Simplifying -5(3t + -3) + 7t = 2t + -2 Reorder the terms: -5(-3 + 3t) + 7t = 2t + -2 (-3 * -5 + 3t * -5) + 7t = 2t + -2 (15 + -15t) + 7t = 2t + -2 Combine like terms: -15t + 7t = -8t 15 + -8t = 2t + -2 Reorder the terms: 15 + -8t = -2 + 2t Solving 15 + -8t = -2 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 15 + -8t + -2t = -2 + 2t + -2t Combine like terms: -8t + -2t = -10t 15 + -10t = -2 + 2t + -2t Combine like terms: 2t + -2t = 0 15 + -10t = -2 + 0 15 + -10t = -2 Add '-15' to each side of the equation. 15 + -15 + -10t = -2 + -15 Combine like terms: 15 + -15 = 0 0 + -10t = -2 + -15 -10t = -2 + -15 Combine like terms: -2 + -15 = -17 -10t = -17 Divide each side by '-10'. t = 1.7 Simplifying t = 1.7
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