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Simplifying -3(5t + -2) + 4t = 8t + -5 Reorder the terms: -3(-2 + 5t) + 4t = 8t + -5 (-2 * -3 + 5t * -3) + 4t = 8t + -5 (6 + -15t) + 4t = 8t + -5 Combine like terms: -15t + 4t = -11t 6 + -11t = 8t + -5 Reorder the terms: 6 + -11t = -5 + 8t Solving 6 + -11t = -5 + 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. 6 + -11t + -8t = -5 + 8t + -8t Combine like terms: -11t + -8t = -19t 6 + -19t = -5 + 8t + -8t Combine like terms: 8t + -8t = 0 6 + -19t = -5 + 0 6 + -19t = -5 Add '-6' to each side of the equation. 6 + -6 + -19t = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -19t = -5 + -6 -19t = -5 + -6 Combine like terms: -5 + -6 = -11 -19t = -11 Divide each side by '-19'. t = 0.5789473684 Simplifying t = 0.5789473684
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