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Simplifying 5 + -1(t + -3) = -1 + 2(t + 3) Reorder the terms: 5 + -1(-3 + t) = -1 + 2(t + 3) 5 + (-3 * -1 + t * -1) = -1 + 2(t + 3) 5 + (3 + -1t) = -1 + 2(t + 3) Combine like terms: 5 + 3 = 8 8 + -1t = -1 + 2(t + 3) Reorder the terms: 8 + -1t = -1 + 2(3 + t) 8 + -1t = -1 + (3 * 2 + t * 2) 8 + -1t = -1 + (6 + 2t) Combine like terms: -1 + 6 = 5 8 + -1t = 5 + 2t Solving 8 + -1t = 5 + 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. 8 + -1t + -2t = 5 + 2t + -2t Combine like terms: -1t + -2t = -3t 8 + -3t = 5 + 2t + -2t Combine like terms: 2t + -2t = 0 8 + -3t = 5 + 0 8 + -3t = 5 Add '-8' to each side of the equation. 8 + -8 + -3t = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -3t = 5 + -8 -3t = 5 + -8 Combine like terms: 5 + -8 = -3 -3t = -3 Divide each side by '-3'. t = 1 Simplifying t = 1
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