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Simplifying -3(5t + -5) + 7t = 8t + -4 Reorder the terms: -3(-5 + 5t) + 7t = 8t + -4 (-5 * -3 + 5t * -3) + 7t = 8t + -4 (15 + -15t) + 7t = 8t + -4 Combine like terms: -15t + 7t = -8t 15 + -8t = 8t + -4 Reorder the terms: 15 + -8t = -4 + 8t Solving 15 + -8t = -4 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 15 + -8t + -8t = -4 + 8t + -8t Combine like terms: -8t + -8t = -16t 15 + -16t = -4 + 8t + -8t Combine like terms: 8t + -8t = 0 15 + -16t = -4 + 0 15 + -16t = -4 Add '-15' to each side of the equation. 15 + -15 + -16t = -4 + -15 Combine like terms: 15 + -15 = 0 0 + -16t = -4 + -15 -16t = -4 + -15 Combine like terms: -4 + -15 = -19 -16t = -19 Divide each side by '-16'. t = 1.1875 Simplifying t = 1.1875
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