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Simplifying -5(t + -4) + 8t = 9t + -2 Reorder the terms: -5(-4 + t) + 8t = 9t + -2 (-4 * -5 + t * -5) + 8t = 9t + -2 (20 + -5t) + 8t = 9t + -2 Combine like terms: -5t + 8t = 3t 20 + 3t = 9t + -2 Reorder the terms: 20 + 3t = -2 + 9t Solving 20 + 3t = -2 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 20 + 3t + -9t = -2 + 9t + -9t Combine like terms: 3t + -9t = -6t 20 + -6t = -2 + 9t + -9t Combine like terms: 9t + -9t = 0 20 + -6t = -2 + 0 20 + -6t = -2 Add '-20' to each side of the equation. 20 + -20 + -6t = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -6t = -2 + -20 -6t = -2 + -20 Combine like terms: -2 + -20 = -22 -6t = -22 Divide each side by '-6'. t = 3.666666667 Simplifying t = 3.666666667
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