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Simplifying -5(2t + -4) + 8t = 5t + -9 Reorder the terms: -5(-4 + 2t) + 8t = 5t + -9 (-4 * -5 + 2t * -5) + 8t = 5t + -9 (20 + -10t) + 8t = 5t + -9 Combine like terms: -10t + 8t = -2t 20 + -2t = 5t + -9 Reorder the terms: 20 + -2t = -9 + 5t Solving 20 + -2t = -9 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 20 + -2t + -5t = -9 + 5t + -5t Combine like terms: -2t + -5t = -7t 20 + -7t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 20 + -7t = -9 + 0 20 + -7t = -9 Add '-20' to each side of the equation. 20 + -20 + -7t = -9 + -20 Combine like terms: 20 + -20 = 0 0 + -7t = -9 + -20 -7t = -9 + -20 Combine like terms: -9 + -20 = -29 -7t = -29 Divide each side by '-7'. t = 4.142857143 Simplifying t = 4.142857143
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