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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) Reorder the terms: 5 + -3 + -1 + -1t = 2(t + 3) Combine like terms: 5 + -3 = 2 2 + -1 + -1t = 2(t + 3) Combine like terms: 2 + -1 = 1 1 + -1t = 2(t + 3) Reorder the terms: 1 + -1t = 2(3 + t) 1 + -1t = (3 * 2 + t * 2) 1 + -1t = (6 + 2t) Solving 1 + -1t = 6 + 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. 1 + -1t + -2t = 6 + 2t + -2t Combine like terms: -1t + -2t = -3t 1 + -3t = 6 + 2t + -2t Combine like terms: 2t + -2t = 0 1 + -3t = 6 + 0 1 + -3t = 6 Add '-1' to each side of the equation. 1 + -1 + -3t = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -3t = 6 + -1 -3t = 6 + -1 Combine like terms: 6 + -1 = 5 -3t = 5 Divide each side by '-3'. t = -1.666666667 Simplifying t = -1.666666667
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