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