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Simplifying -3(2t + -5) = 2(4t + 7) Reorder the terms: -3(-5 + 2t) = 2(4t + 7) (-5 * -3 + 2t * -3) = 2(4t + 7) (15 + -6t) = 2(4t + 7) Reorder the terms: 15 + -6t = 2(7 + 4t) 15 + -6t = (7 * 2 + 4t * 2) 15 + -6t = (14 + 8t) Solving 15 + -6t = 14 + 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 + -6t + -8t = 14 + 8t + -8t Combine like terms: -6t + -8t = -14t 15 + -14t = 14 + 8t + -8t Combine like terms: 8t + -8t = 0 15 + -14t = 14 + 0 15 + -14t = 14 Add '-15' to each side of the equation. 15 + -15 + -14t = 14 + -15 Combine like terms: 15 + -15 = 0 0 + -14t = 14 + -15 -14t = 14 + -15 Combine like terms: 14 + -15 = -1 -14t = -1 Divide each side by '-14'. t = 0.07142857143 Simplifying t = 0.07142857143
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