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Simplifying -5(2t + -4) + 2t = 7t + -8 Reorder the terms: -5(-4 + 2t) + 2t = 7t + -8 (-4 * -5 + 2t * -5) + 2t = 7t + -8 (20 + -10t) + 2t = 7t + -8 Combine like terms: -10t + 2t = -8t 20 + -8t = 7t + -8 Reorder the terms: 20 + -8t = -8 + 7t Solving 20 + -8t = -8 + 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. 20 + -8t + -7t = -8 + 7t + -7t Combine like terms: -8t + -7t = -15t 20 + -15t = -8 + 7t + -7t Combine like terms: 7t + -7t = 0 20 + -15t = -8 + 0 20 + -15t = -8 Add '-20' to each side of the equation. 20 + -20 + -15t = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -15t = -8 + -20 -15t = -8 + -20 Combine like terms: -8 + -20 = -28 -15t = -28 Divide each side by '-15'. t = 1.866666667 Simplifying t = 1.866666667
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