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Simplifying -5(t + -5) + 7t = 9t + -1 Reorder the terms: -5(-5 + t) + 7t = 9t + -1 (-5 * -5 + t * -5) + 7t = 9t + -1 (25 + -5t) + 7t = 9t + -1 Combine like terms: -5t + 7t = 2t 25 + 2t = 9t + -1 Reorder the terms: 25 + 2t = -1 + 9t Solving 25 + 2t = -1 + 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. 25 + 2t + -9t = -1 + 9t + -9t Combine like terms: 2t + -9t = -7t 25 + -7t = -1 + 9t + -9t Combine like terms: 9t + -9t = 0 25 + -7t = -1 + 0 25 + -7t = -1 Add '-25' to each side of the equation. 25 + -25 + -7t = -1 + -25 Combine like terms: 25 + -25 = 0 0 + -7t = -1 + -25 -7t = -1 + -25 Combine like terms: -1 + -25 = -26 -7t = -26 Divide each side by '-7'. t = 3.714285714 Simplifying t = 3.714285714
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