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Simplifying -5(2t + -3) + 8t = 5t + -4 Reorder the terms: -5(-3 + 2t) + 8t = 5t + -4 (-3 * -5 + 2t * -5) + 8t = 5t + -4 (15 + -10t) + 8t = 5t + -4 Combine like terms: -10t + 8t = -2t 15 + -2t = 5t + -4 Reorder the terms: 15 + -2t = -4 + 5t Solving 15 + -2t = -4 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 15 + -2t + -5t = -4 + 5t + -5t Combine like terms: -2t + -5t = -7t 15 + -7t = -4 + 5t + -5t Combine like terms: 5t + -5t = 0 15 + -7t = -4 + 0 15 + -7t = -4 Add '-15' to each side of the equation. 15 + -15 + -7t = -4 + -15 Combine like terms: 15 + -15 = 0 0 + -7t = -4 + -15 -7t = -4 + -15 Combine like terms: -4 + -15 = -19 -7t = -19 Divide each side by '-7'. t = 2.714285714 Simplifying t = 2.714285714
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