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Simplifying -5(2t + -5) + 3t = 4t + -4 Reorder the terms: -5(-5 + 2t) + 3t = 4t + -4 (-5 * -5 + 2t * -5) + 3t = 4t + -4 (25 + -10t) + 3t = 4t + -4 Combine like terms: -10t + 3t = -7t 25 + -7t = 4t + -4 Reorder the terms: 25 + -7t = -4 + 4t Solving 25 + -7t = -4 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 25 + -7t + -4t = -4 + 4t + -4t Combine like terms: -7t + -4t = -11t 25 + -11t = -4 + 4t + -4t Combine like terms: 4t + -4t = 0 25 + -11t = -4 + 0 25 + -11t = -4 Add '-25' to each side of the equation. 25 + -25 + -11t = -4 + -25 Combine like terms: 25 + -25 = 0 0 + -11t = -4 + -25 -11t = -4 + -25 Combine like terms: -4 + -25 = -29 -11t = -29 Divide each side by '-11'. t = 2.636363636 Simplifying t = 2.636363636
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