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Simplifying -5(t + -5) + 9t = 7t + -4 Reorder the terms: -5(-5 + t) + 9t = 7t + -4 (-5 * -5 + t * -5) + 9t = 7t + -4 (25 + -5t) + 9t = 7t + -4 Combine like terms: -5t + 9t = 4t 25 + 4t = 7t + -4 Reorder the terms: 25 + 4t = -4 + 7t Solving 25 + 4t = -4 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 25 + 4t + -7t = -4 + 7t + -7t Combine like terms: 4t + -7t = -3t 25 + -3t = -4 + 7t + -7t Combine like terms: 7t + -7t = 0 25 + -3t = -4 + 0 25 + -3t = -4 Add '-25' to each side of the equation. 25 + -25 + -3t = -4 + -25 Combine like terms: 25 + -25 = 0 0 + -3t = -4 + -25 -3t = -4 + -25 Combine like terms: -4 + -25 = -29 -3t = -29 Divide each side by '-3'. t = 9.666666667 Simplifying t = 9.666666667
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