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Simplifying -2(t + -8) + -1(t + 7) = 8 Reorder the terms: -2(-8 + t) + -1(t + 7) = 8 (-8 * -2 + t * -2) + -1(t + 7) = 8 (16 + -2t) + -1(t + 7) = 8 Reorder the terms: 16 + -2t + -1(7 + t) = 8 16 + -2t + (7 * -1 + t * -1) = 8 16 + -2t + (-7 + -1t) = 8 Reorder the terms: 16 + -7 + -2t + -1t = 8 Combine like terms: 16 + -7 = 9 9 + -2t + -1t = 8 Combine like terms: -2t + -1t = -3t 9 + -3t = 8 Solving 9 + -3t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -3t = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -3t = 8 + -9 -3t = 8 + -9 Combine like terms: 8 + -9 = -1 -3t = -1 Divide each side by '-3'. t = 0.3333333333 Simplifying t = 0.3333333333
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