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Simplifying -5(2t + -5) + 7t = 5t + -4 Reorder the terms: -5(-5 + 2t) + 7t = 5t + -4 (-5 * -5 + 2t * -5) + 7t = 5t + -4 (25 + -10t) + 7t = 5t + -4 Combine like terms: -10t + 7t = -3t 25 + -3t = 5t + -4 Reorder the terms: 25 + -3t = -4 + 5t Solving 25 + -3t = -4 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 25 + -3t + -5t = -4 + 5t + -5t Combine like terms: -3t + -5t = -8t 25 + -8t = -4 + 5t + -5t Combine like terms: 5t + -5t = 0 25 + -8t = -4 + 0 25 + -8t = -4 Add '-25' to each side of the equation. 25 + -25 + -8t = -4 + -25 Combine like terms: 25 + -25 = 0 0 + -8t = -4 + -25 -8t = -4 + -25 Combine like terms: -4 + -25 = -29 -8t = -29 Divide each side by '-8'. t = 3.625 Simplifying t = 3.625
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