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Simplifying -5(3t + -5) + 7t = 3t + -2 Reorder the terms: -5(-5 + 3t) + 7t = 3t + -2 (-5 * -5 + 3t * -5) + 7t = 3t + -2 (25 + -15t) + 7t = 3t + -2 Combine like terms: -15t + 7t = -8t 25 + -8t = 3t + -2 Reorder the terms: 25 + -8t = -2 + 3t Solving 25 + -8t = -2 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 25 + -8t + -3t = -2 + 3t + -3t Combine like terms: -8t + -3t = -11t 25 + -11t = -2 + 3t + -3t Combine like terms: 3t + -3t = 0 25 + -11t = -2 + 0 25 + -11t = -2 Add '-25' to each side of the equation. 25 + -25 + -11t = -2 + -25 Combine like terms: 25 + -25 = 0 0 + -11t = -2 + -25 -11t = -2 + -25 Combine like terms: -2 + -25 = -27 -11t = -27 Divide each side by '-11'. t = 2.454545455 Simplifying t = 2.454545455
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