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Simplifying 10 + -5(5 + -2t) = (t + -1) 10 + (5 * -5 + -2t * -5) = (t + -1) 10 + (-25 + 10t) = (t + -1) Combine like terms: 10 + -25 = -15 -15 + 10t = (t + -1) Reorder the terms: -15 + 10t = (-1 + t) Remove parenthesis around (-1 + t) -15 + 10t = -1 + t Solving -15 + 10t = -1 + 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. -15 + 10t + -1t = -1 + t + -1t Combine like terms: 10t + -1t = 9t -15 + 9t = -1 + t + -1t Combine like terms: t + -1t = 0 -15 + 9t = -1 + 0 -15 + 9t = -1 Add '15' to each side of the equation. -15 + 15 + 9t = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 9t = -1 + 15 9t = -1 + 15 Combine like terms: -1 + 15 = 14 9t = 14 Divide each side by '9'. t = 1.555555556 Simplifying t = 1.555555556
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