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Simplifying -3(2t + -5) + 4t = 8t + -4 Reorder the terms: -3(-5 + 2t) + 4t = 8t + -4 (-5 * -3 + 2t * -3) + 4t = 8t + -4 (15 + -6t) + 4t = 8t + -4 Combine like terms: -6t + 4t = -2t 15 + -2t = 8t + -4 Reorder the terms: 15 + -2t = -4 + 8t Solving 15 + -2t = -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 + -2t + -8t = -4 + 8t + -8t Combine like terms: -2t + -8t = -10t 15 + -10t = -4 + 8t + -8t Combine like terms: 8t + -8t = 0 15 + -10t = -4 + 0 15 + -10t = -4 Add '-15' to each side of the equation. 15 + -15 + -10t = -4 + -15 Combine like terms: 15 + -15 = 0 0 + -10t = -4 + -15 -10t = -4 + -15 Combine like terms: -4 + -15 = -19 -10t = -19 Divide each side by '-10'. t = 1.9 Simplifying t = 1.9
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