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Simplifying -2(t + -2) + 3 = 1(t + 1) Reorder the terms: -2(-2 + t) + 3 = 1(t + 1) (-2 * -2 + t * -2) + 3 = 1(t + 1) (4 + -2t) + 3 = 1(t + 1) Reorder the terms: 4 + 3 + -2t = 1(t + 1) Combine like terms: 4 + 3 = 7 7 + -2t = 1(t + 1) Reorder the terms: 7 + -2t = 1(1 + t) 7 + -2t = (1 * 1 + t * 1) 7 + -2t = (1 + 1t) Solving 7 + -2t = 1 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 7 + -2t + -1t = 1 + 1t + -1t Combine like terms: -2t + -1t = -3t 7 + -3t = 1 + 1t + -1t Combine like terms: 1t + -1t = 0 7 + -3t = 1 + 0 7 + -3t = 1 Add '-7' to each side of the equation. 7 + -7 + -3t = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3t = 1 + -7 -3t = 1 + -7 Combine like terms: 1 + -7 = -6 -3t = -6 Divide each side by '-3'. t = 2 Simplifying t = 2
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