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Simplifying -7t + 8 = -3(5 + -2t) + -3 + t Reorder the terms: 8 + -7t = -3(5 + -2t) + -3 + t 8 + -7t = (5 * -3 + -2t * -3) + -3 + t 8 + -7t = (-15 + 6t) + -3 + t Reorder the terms: 8 + -7t = -15 + -3 + 6t + t Combine like terms: -15 + -3 = -18 8 + -7t = -18 + 6t + t Combine like terms: 6t + t = 7t 8 + -7t = -18 + 7t Solving 8 + -7t = -18 + 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. 8 + -7t + -7t = -18 + 7t + -7t Combine like terms: -7t + -7t = -14t 8 + -14t = -18 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + -14t = -18 + 0 8 + -14t = -18 Add '-8' to each side of the equation. 8 + -8 + -14t = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -14t = -18 + -8 -14t = -18 + -8 Combine like terms: -18 + -8 = -26 -14t = -26 Divide each side by '-14'. t = 1.857142857 Simplifying t = 1.857142857
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