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Simplifying -4(t + -5) + 8t = 7t + -6 Reorder the terms: -4(-5 + t) + 8t = 7t + -6 (-5 * -4 + t * -4) + 8t = 7t + -6 (20 + -4t) + 8t = 7t + -6 Combine like terms: -4t + 8t = 4t 20 + 4t = 7t + -6 Reorder the terms: 20 + 4t = -6 + 7t Solving 20 + 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. 20 + 4t + -7t = -6 + 7t + -7t Combine like terms: 4t + -7t = -3t 20 + -3t = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 20 + -3t = -6 + 0 20 + -3t = -6 Add '-20' to each side of the equation. 20 + -20 + -3t = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -3t = -6 + -20 -3t = -6 + -20 Combine like terms: -6 + -20 = -26 -3t = -26 Divide each side by '-3'. t = 8.666666667 Simplifying t = 8.666666667
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