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Simplifying -5(3t + -5) + 8t = 2t + -7 Reorder the terms: -5(-5 + 3t) + 8t = 2t + -7 (-5 * -5 + 3t * -5) + 8t = 2t + -7 (25 + -15t) + 8t = 2t + -7 Combine like terms: -15t + 8t = -7t 25 + -7t = 2t + -7 Reorder the terms: 25 + -7t = -7 + 2t Solving 25 + -7t = -7 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 25 + -7t + -2t = -7 + 2t + -2t Combine like terms: -7t + -2t = -9t 25 + -9t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 25 + -9t = -7 + 0 25 + -9t = -7 Add '-25' to each side of the equation. 25 + -25 + -9t = -7 + -25 Combine like terms: 25 + -25 = 0 0 + -9t = -7 + -25 -9t = -7 + -25 Combine like terms: -7 + -25 = -32 -9t = -32 Divide each side by '-9'. t = 3.555555556 Simplifying t = 3.555555556
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