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Simplifying -4(t + -1) + 8t = 7t + -6 Reorder the terms: -4(-1 + t) + 8t = 7t + -6 (-1 * -4 + t * -4) + 8t = 7t + -6 (4 + -4t) + 8t = 7t + -6 Combine like terms: -4t + 8t = 4t 4 + 4t = 7t + -6 Reorder the terms: 4 + 4t = -6 + 7t Solving 4 + 4t = -6 + 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 = -6 + 7t + -7t Combine like terms: 4t + -7t = -3t 4 + -3t = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 4 + -3t = -6 + 0 4 + -3t = -6 Add '-4' to each side of the equation. 4 + -4 + -3t = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -3t = -6 + -4 -3t = -6 + -4 Combine like terms: -6 + -4 = -10 -3t = -10 Divide each side by '-3'. t = 3.333333333 Simplifying t = 3.333333333
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