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Simplifying 5(5t + 2) + -25(t + -5) = t + -8(t + -9) Reorder the terms: 5(2 + 5t) + -25(t + -5) = t + -8(t + -9) (2 * 5 + 5t * 5) + -25(t + -5) = t + -8(t + -9) (10 + 25t) + -25(t + -5) = t + -8(t + -9) Reorder the terms: 10 + 25t + -25(-5 + t) = t + -8(t + -9) 10 + 25t + (-5 * -25 + t * -25) = t + -8(t + -9) 10 + 25t + (125 + -25t) = t + -8(t + -9) Reorder the terms: 10 + 125 + 25t + -25t = t + -8(t + -9) Combine like terms: 10 + 125 = 135 135 + 25t + -25t = t + -8(t + -9) Combine like terms: 25t + -25t = 0 135 + 0 = t + -8(t + -9) 135 = t + -8(t + -9) Reorder the terms: 135 = t + -8(-9 + t) 135 = t + (-9 * -8 + t * -8) 135 = t + (72 + -8t) Reorder the terms: 135 = 72 + t + -8t Combine like terms: t + -8t = -7t 135 = 72 + -7t Solving 135 = 72 + -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. 135 + 7t = 72 + -7t + 7t Combine like terms: -7t + 7t = 0 135 + 7t = 72 + 0 135 + 7t = 72 Add '-135' to each side of the equation. 135 + -135 + 7t = 72 + -135 Combine like terms: 135 + -135 = 0 0 + 7t = 72 + -135 7t = 72 + -135 Combine like terms: 72 + -135 = -63 7t = -63 Divide each side by '7'. t = -9 Simplifying t = -9
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