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