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Simplifying -8t + -5(2t + 7) = t + -10 Reorder the terms: -8t + -5(7 + 2t) = t + -10 -8t + (7 * -5 + 2t * -5) = t + -10 -8t + (-35 + -10t) = t + -10 Reorder the terms: -35 + -8t + -10t = t + -10 Combine like terms: -8t + -10t = -18t -35 + -18t = t + -10 Reorder the terms: -35 + -18t = -10 + t Solving -35 + -18t = -10 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -35 + -18t + -1t = -10 + t + -1t Combine like terms: -18t + -1t = -19t -35 + -19t = -10 + t + -1t Combine like terms: t + -1t = 0 -35 + -19t = -10 + 0 -35 + -19t = -10 Add '35' to each side of the equation. -35 + 35 + -19t = -10 + 35 Combine like terms: -35 + 35 = 0 0 + -19t = -10 + 35 -19t = -10 + 35 Combine like terms: -10 + 35 = 25 -19t = 25 Divide each side by '-19'. t = -1.315789474 Simplifying t = -1.315789474
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