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