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Simplifying -5(3t + -2) + 4t = 8t + -6 Reorder the terms: -5(-2 + 3t) + 4t = 8t + -6 (-2 * -5 + 3t * -5) + 4t = 8t + -6 (10 + -15t) + 4t = 8t + -6 Combine like terms: -15t + 4t = -11t 10 + -11t = 8t + -6 Reorder the terms: 10 + -11t = -6 + 8t Solving 10 + -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. 10 + -11t + -8t = -6 + 8t + -8t Combine like terms: -11t + -8t = -19t 10 + -19t = -6 + 8t + -8t Combine like terms: 8t + -8t = 0 10 + -19t = -6 + 0 10 + -19t = -6 Add '-10' to each side of the equation. 10 + -10 + -19t = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -19t = -6 + -10 -19t = -6 + -10 Combine like terms: -6 + -10 = -16 -19t = -16 Divide each side by '-19'. t = 0.8421052632 Simplifying t = 0.8421052632
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