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Simplifying -5(t + -4) + 8t = 6t + -6 Reorder the terms: -5(-4 + t) + 8t = 6t + -6 (-4 * -5 + t * -5) + 8t = 6t + -6 (20 + -5t) + 8t = 6t + -6 Combine like terms: -5t + 8t = 3t 20 + 3t = 6t + -6 Reorder the terms: 20 + 3t = -6 + 6t Solving 20 + 3t = -6 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 20 + 3t + -6t = -6 + 6t + -6t Combine like terms: 3t + -6t = -3t 20 + -3t = -6 + 6t + -6t Combine like terms: 6t + -6t = 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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