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Simplifying -3(5t + -5) + 4t = 8t + -9 Reorder the terms: -3(-5 + 5t) + 4t = 8t + -9 (-5 * -3 + 5t * -3) + 4t = 8t + -9 (15 + -15t) + 4t = 8t + -9 Combine like terms: -15t + 4t = -11t 15 + -11t = 8t + -9 Reorder the terms: 15 + -11t = -9 + 8t Solving 15 + -11t = -9 + 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 + -11t + -8t = -9 + 8t + -8t Combine like terms: -11t + -8t = -19t 15 + -19t = -9 + 8t + -8t Combine like terms: 8t + -8t = 0 15 + -19t = -9 + 0 15 + -19t = -9 Add '-15' to each side of the equation. 15 + -15 + -19t = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -19t = -9 + -15 -19t = -9 + -15 Combine like terms: -9 + -15 = -24 -19t = -24 Divide each side by '-19'. t = 1.263157895 Simplifying t = 1.263157895
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