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Simplifying -5(2t + -2) + 2t = 7t + -9 Reorder the terms: -5(-2 + 2t) + 2t = 7t + -9 (-2 * -5 + 2t * -5) + 2t = 7t + -9 (10 + -10t) + 2t = 7t + -9 Combine like terms: -10t + 2t = -8t 10 + -8t = 7t + -9 Reorder the terms: 10 + -8t = -9 + 7t Solving 10 + -8t = -9 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 10 + -8t + -7t = -9 + 7t + -7t Combine like terms: -8t + -7t = -15t 10 + -15t = -9 + 7t + -7t Combine like terms: 7t + -7t = 0 10 + -15t = -9 + 0 10 + -15t = -9 Add '-10' to each side of the equation. 10 + -10 + -15t = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -15t = -9 + -10 -15t = -9 + -10 Combine like terms: -9 + -10 = -19 -15t = -19 Divide each side by '-15'. t = 1.266666667 Simplifying t = 1.266666667
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