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Simplifying 7 + 3t = 2(t + 3) + -2(-1 + -1t) Reorder the terms: 7 + 3t = 2(3 + t) + -2(-1 + -1t) 7 + 3t = (3 * 2 + t * 2) + -2(-1 + -1t) 7 + 3t = (6 + 2t) + -2(-1 + -1t) 7 + 3t = 6 + 2t + (-1 * -2 + -1t * -2) 7 + 3t = 6 + 2t + (2 + 2t) Reorder the terms: 7 + 3t = 6 + 2 + 2t + 2t Combine like terms: 6 + 2 = 8 7 + 3t = 8 + 2t + 2t Combine like terms: 2t + 2t = 4t 7 + 3t = 8 + 4t Solving 7 + 3t = 8 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 7 + 3t + -4t = 8 + 4t + -4t Combine like terms: 3t + -4t = -1t 7 + -1t = 8 + 4t + -4t Combine like terms: 4t + -4t = 0 7 + -1t = 8 + 0 7 + -1t = 8 Add '-7' to each side of the equation. 7 + -7 + -1t = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 8 + -7 -1t = 8 + -7 Combine like terms: 8 + -7 = 1 -1t = 1 Divide each side by '-1'. t = -1 Simplifying t = -1
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