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Simplifying 5 + -1(t + 3) = -1 + 2(t + 2) Reorder the terms: 5 + -1(3 + t) = -1 + 2(t + 2) 5 + (3 * -1 + t * -1) = -1 + 2(t + 2) 5 + (-3 + -1t) = -1 + 2(t + 2) Combine like terms: 5 + -3 = 2 2 + -1t = -1 + 2(t + 2) Reorder the terms: 2 + -1t = -1 + 2(2 + t) 2 + -1t = -1 + (2 * 2 + t * 2) 2 + -1t = -1 + (4 + 2t) Combine like terms: -1 + 4 = 3 2 + -1t = 3 + 2t Solving 2 + -1t = 3 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 2 + -1t + -2t = 3 + 2t + -2t Combine like terms: -1t + -2t = -3t 2 + -3t = 3 + 2t + -2t Combine like terms: 2t + -2t = 0 2 + -3t = 3 + 0 2 + -3t = 3 Add '-2' to each side of the equation. 2 + -2 + -3t = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -3t = 3 + -2 -3t = 3 + -2 Combine like terms: 3 + -2 = 1 -3t = 1 Divide each side by '-3'. t = -0.3333333333 Simplifying t = -0.3333333333
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