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Simplifying -5(t + -4) + 7t = 9t + -2 Reorder the terms: -5(-4 + t) + 7t = 9t + -2 (-4 * -5 + t * -5) + 7t = 9t + -2 (20 + -5t) + 7t = 9t + -2 Combine like terms: -5t + 7t = 2t 20 + 2t = 9t + -2 Reorder the terms: 20 + 2t = -2 + 9t Solving 20 + 2t = -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 + 2t + -9t = -2 + 9t + -9t Combine like terms: 2t + -9t = -7t 20 + -7t = -2 + 9t + -9t Combine like terms: 9t + -9t = 0 20 + -7t = -2 + 0 20 + -7t = -2 Add '-20' to each side of the equation. 20 + -20 + -7t = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -7t = -2 + -20 -7t = -2 + -20 Combine like terms: -2 + -20 = -22 -7t = -22 Divide each side by '-7'. t = 3.142857143 Simplifying t = 3.142857143
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