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Simplifying -3(5t + -5) + 7t = 5t + -8 Reorder the terms: -3(-5 + 5t) + 7t = 5t + -8 (-5 * -3 + 5t * -3) + 7t = 5t + -8 (15 + -15t) + 7t = 5t + -8 Combine like terms: -15t + 7t = -8t 15 + -8t = 5t + -8 Reorder the terms: 15 + -8t = -8 + 5t Solving 15 + -8t = -8 + 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. 15 + -8t + -5t = -8 + 5t + -5t Combine like terms: -8t + -5t = -13t 15 + -13t = -8 + 5t + -5t Combine like terms: 5t + -5t = 0 15 + -13t = -8 + 0 15 + -13t = -8 Add '-15' to each side of the equation. 15 + -15 + -13t = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -13t = -8 + -15 -13t = -8 + -15 Combine like terms: -8 + -15 = -23 -13t = -23 Divide each side by '-13'. t = 1.769230769 Simplifying t = 1.769230769
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