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Simplifying -3(5t + -3) + 7t = 2t + -8 Reorder the terms: -3(-3 + 5t) + 7t = 2t + -8 (-3 * -3 + 5t * -3) + 7t = 2t + -8 (9 + -15t) + 7t = 2t + -8 Combine like terms: -15t + 7t = -8t 9 + -8t = 2t + -8 Reorder the terms: 9 + -8t = -8 + 2t Solving 9 + -8t = -8 + 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. 9 + -8t + -2t = -8 + 2t + -2t Combine like terms: -8t + -2t = -10t 9 + -10t = -8 + 2t + -2t Combine like terms: 2t + -2t = 0 9 + -10t = -8 + 0 9 + -10t = -8 Add '-9' to each side of the equation. 9 + -9 + -10t = -8 + -9 Combine like terms: 9 + -9 = 0 0 + -10t = -8 + -9 -10t = -8 + -9 Combine like terms: -8 + -9 = -17 -10t = -17 Divide each side by '-10'. t = 1.7 Simplifying t = 1.7
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