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