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Simplifying -5(3t + -5) + 7t = 6t + -8 Reorder the terms: -5(-5 + 3t) + 7t = 6t + -8 (-5 * -5 + 3t * -5) + 7t = 6t + -8 (25 + -15t) + 7t = 6t + -8 Combine like terms: -15t + 7t = -8t 25 + -8t = 6t + -8 Reorder the terms: 25 + -8t = -8 + 6t Solving 25 + -8t = -8 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 25 + -8t + -6t = -8 + 6t + -6t Combine like terms: -8t + -6t = -14t 25 + -14t = -8 + 6t + -6t Combine like terms: 6t + -6t = 0 25 + -14t = -8 + 0 25 + -14t = -8 Add '-25' to each side of the equation. 25 + -25 + -14t = -8 + -25 Combine like terms: 25 + -25 = 0 0 + -14t = -8 + -25 -14t = -8 + -25 Combine like terms: -8 + -25 = -33 -14t = -33 Divide each side by '-14'. t = 2.357142857 Simplifying t = 2.357142857
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