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Simplifying -2(t + -4) + -1(t + 3) = 11 Reorder the terms: -2(-4 + t) + -1(t + 3) = 11 (-4 * -2 + t * -2) + -1(t + 3) = 11 (8 + -2t) + -1(t + 3) = 11 Reorder the terms: 8 + -2t + -1(3 + t) = 11 8 + -2t + (3 * -1 + t * -1) = 11 8 + -2t + (-3 + -1t) = 11 Reorder the terms: 8 + -3 + -2t + -1t = 11 Combine like terms: 8 + -3 = 5 5 + -2t + -1t = 11 Combine like terms: -2t + -1t = -3t 5 + -3t = 11 Solving 5 + -3t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3t = 11 + -5 Combine like terms: 5 + -5 = 0 0 + -3t = 11 + -5 -3t = 11 + -5 Combine like terms: 11 + -5 = 6 -3t = 6 Divide each side by '-3'. t = -2 Simplifying t = -2
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