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Simplifying -2(t + -8) + -1(t + 8) = 11 Reorder the terms: -2(-8 + t) + -1(t + 8) = 11 (-8 * -2 + t * -2) + -1(t + 8) = 11 (16 + -2t) + -1(t + 8) = 11 Reorder the terms: 16 + -2t + -1(8 + t) = 11 16 + -2t + (8 * -1 + t * -1) = 11 16 + -2t + (-8 + -1t) = 11 Reorder the terms: 16 + -8 + -2t + -1t = 11 Combine like terms: 16 + -8 = 8 8 + -2t + -1t = 11 Combine like terms: -2t + -1t = -3t 8 + -3t = 11 Solving 8 + -3t = 11 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 = 11 + -8 Combine like terms: 8 + -8 = 0 0 + -3t = 11 + -8 -3t = 11 + -8 Combine like terms: 11 + -8 = 3 -3t = 3 Divide each side by '-3'. t = -1 Simplifying t = -1
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