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Simplifying -5(t + -5) + 7t = 9t + -2 Reorder the terms: -5(-5 + t) + 7t = 9t + -2 (-5 * -5 + t * -5) + 7t = 9t + -2 (25 + -5t) + 7t = 9t + -2 Combine like terms: -5t + 7t = 2t 25 + 2t = 9t + -2 Reorder the terms: 25 + 2t = -2 + 9t Solving 25 + 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. 25 + 2t + -9t = -2 + 9t + -9t Combine like terms: 2t + -9t = -7t 25 + -7t = -2 + 9t + -9t Combine like terms: 9t + -9t = 0 25 + -7t = -2 + 0 25 + -7t = -2 Add '-25' to each side of the equation. 25 + -25 + -7t = -2 + -25 Combine like terms: 25 + -25 = 0 0 + -7t = -2 + -25 -7t = -2 + -25 Combine like terms: -2 + -25 = -27 -7t = -27 Divide each side by '-7'. t = 3.857142857 Simplifying t = 3.857142857
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