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Simplifying 7 = 3(t + -1) + -2(t + -3) Reorder the terms: 7 = 3(-1 + t) + -2(t + -3) 7 = (-1 * 3 + t * 3) + -2(t + -3) 7 = (-3 + 3t) + -2(t + -3) Reorder the terms: 7 = -3 + 3t + -2(-3 + t) 7 = -3 + 3t + (-3 * -2 + t * -2) 7 = -3 + 3t + (6 + -2t) Reorder the terms: 7 = -3 + 6 + 3t + -2t Combine like terms: -3 + 6 = 3 7 = 3 + 3t + -2t Combine like terms: 3t + -2t = 1t 7 = 3 + 1t Solving 7 = 3 + 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 + -1t = 3 + 1t + -1t Combine like terms: 1t + -1t = 0 7 + -1t = 3 + 0 7 + -1t = 3 Add '-7' to each side of the equation. 7 + -7 + -1t = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 3 + -7 -1t = 3 + -7 Combine like terms: 3 + -7 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4
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