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Simplifying -5(2t + -5) + 8t = 7t + -3 Reorder the terms: -5(-5 + 2t) + 8t = 7t + -3 (-5 * -5 + 2t * -5) + 8t = 7t + -3 (25 + -10t) + 8t = 7t + -3 Combine like terms: -10t + 8t = -2t 25 + -2t = 7t + -3 Reorder the terms: 25 + -2t = -3 + 7t Solving 25 + -2t = -3 + 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 + -2t + -7t = -3 + 7t + -7t Combine like terms: -2t + -7t = -9t 25 + -9t = -3 + 7t + -7t Combine like terms: 7t + -7t = 0 25 + -9t = -3 + 0 25 + -9t = -3 Add '-25' to each side of the equation. 25 + -25 + -9t = -3 + -25 Combine like terms: 25 + -25 = 0 0 + -9t = -3 + -25 -9t = -3 + -25 Combine like terms: -3 + -25 = -28 -9t = -28 Divide each side by '-9'. t = 3.111111111 Simplifying t = 3.111111111
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