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Simplifying 8 + -1(3 + t) = t + -9 8 + (3 * -1 + t * -1) = t + -9 8 + (-3 + -1t) = t + -9 Combine like terms: 8 + -3 = 5 5 + -1t = t + -9 Reorder the terms: 5 + -1t = -9 + t Solving 5 + -1t = -9 + 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. 5 + -1t + -1t = -9 + t + -1t Combine like terms: -1t + -1t = -2t 5 + -2t = -9 + t + -1t Combine like terms: t + -1t = 0 5 + -2t = -9 + 0 5 + -2t = -9 Add '-5' to each side of the equation. 5 + -5 + -2t = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -2t = -9 + -5 -2t = -9 + -5 Combine like terms: -9 + -5 = -14 -2t = -14 Divide each side by '-2'. t = 7 Simplifying t = 7
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