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Simplifying -3(t + -1) + 5t = 9t + -9 Reorder the terms: -3(-1 + t) + 5t = 9t + -9 (-1 * -3 + t * -3) + 5t = 9t + -9 (3 + -3t) + 5t = 9t + -9 Combine like terms: -3t + 5t = 2t 3 + 2t = 9t + -9 Reorder the terms: 3 + 2t = -9 + 9t Solving 3 + 2t = -9 + 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 = -9 + 9t + -9t Combine like terms: 2t + -9t = -7t 3 + -7t = -9 + 9t + -9t Combine like terms: 9t + -9t = 0 3 + -7t = -9 + 0 3 + -7t = -9 Add '-3' to each side of the equation. 3 + -3 + -7t = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -7t = -9 + -3 -7t = -9 + -3 Combine like terms: -9 + -3 = -12 -7t = -12 Divide each side by '-7'. t = 1.714285714 Simplifying t = 1.714285714
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