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Simplifying -3(t + -1) + 5t = 9t + -2 Reorder the terms: -3(-1 + t) + 5t = 9t + -2 (-1 * -3 + t * -3) + 5t = 9t + -2 (3 + -3t) + 5t = 9t + -2 Combine like terms: -3t + 5t = 2t 3 + 2t = 9t + -2 Reorder the terms: 3 + 2t = -2 + 9t Solving 3 + 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. 3 + 2t + -9t = -2 + 9t + -9t Combine like terms: 2t + -9t = -7t 3 + -7t = -2 + 9t + -9t Combine like terms: 9t + -9t = 0 3 + -7t = -2 + 0 3 + -7t = -2 Add '-3' to each side of the equation. 3 + -3 + -7t = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -7t = -2 + -3 -7t = -2 + -3 Combine like terms: -2 + -3 = -5 -7t = -5 Divide each side by '-7'. t = 0.7142857143 Simplifying t = 0.7142857143
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