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Simplifying -2(t + -5) + 7 = 8t + -9 Reorder the terms: -2(-5 + t) + 7 = 8t + -9 (-5 * -2 + t * -2) + 7 = 8t + -9 (10 + -2t) + 7 = 8t + -9 Reorder the terms: 10 + 7 + -2t = 8t + -9 Combine like terms: 10 + 7 = 17 17 + -2t = 8t + -9 Reorder the terms: 17 + -2t = -9 + 8t Solving 17 + -2t = -9 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 17 + -2t + -8t = -9 + 8t + -8t Combine like terms: -2t + -8t = -10t 17 + -10t = -9 + 8t + -8t Combine like terms: 8t + -8t = 0 17 + -10t = -9 + 0 17 + -10t = -9 Add '-17' to each side of the equation. 17 + -17 + -10t = -9 + -17 Combine like terms: 17 + -17 = 0 0 + -10t = -9 + -17 -10t = -9 + -17 Combine like terms: -9 + -17 = -26 -10t = -26 Divide each side by '-10'. t = 2.6 Simplifying t = 2.6
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