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Simplifying 5(t + -5) = 7(17 + -1t) Reorder the terms: 5(-5 + t) = 7(17 + -1t) (-5 * 5 + t * 5) = 7(17 + -1t) (-25 + 5t) = 7(17 + -1t) -25 + 5t = (17 * 7 + -1t * 7) -25 + 5t = (119 + -7t) Solving -25 + 5t = 119 + -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 + 5t + 7t = 119 + -7t + 7t Combine like terms: 5t + 7t = 12t -25 + 12t = 119 + -7t + 7t Combine like terms: -7t + 7t = 0 -25 + 12t = 119 + 0 -25 + 12t = 119 Add '25' to each side of the equation. -25 + 25 + 12t = 119 + 25 Combine like terms: -25 + 25 = 0 0 + 12t = 119 + 25 12t = 119 + 25 Combine like terms: 119 + 25 = 144 12t = 144 Divide each side by '12'. t = 12 Simplifying t = 12
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