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Simplifying -5(3t + -5) + 4t = 8t + -6 Reorder the terms: -5(-5 + 3t) + 4t = 8t + -6 (-5 * -5 + 3t * -5) + 4t = 8t + -6 (25 + -15t) + 4t = 8t + -6 Combine like terms: -15t + 4t = -11t 25 + -11t = 8t + -6 Reorder the terms: 25 + -11t = -6 + 8t Solving 25 + -11t = -6 + 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. 25 + -11t + -8t = -6 + 8t + -8t Combine like terms: -11t + -8t = -19t 25 + -19t = -6 + 8t + -8t Combine like terms: 8t + -8t = 0 25 + -19t = -6 + 0 25 + -19t = -6 Add '-25' to each side of the equation. 25 + -25 + -19t = -6 + -25 Combine like terms: 25 + -25 = 0 0 + -19t = -6 + -25 -19t = -6 + -25 Combine like terms: -6 + -25 = -31 -19t = -31 Divide each side by '-19'. t = 1.631578947 Simplifying t = 1.631578947
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