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Simplifying -4(t + -2) + 6 = 5(2t + 3) + -13 Reorder the terms: -4(-2 + t) + 6 = 5(2t + 3) + -13 (-2 * -4 + t * -4) + 6 = 5(2t + 3) + -13 (8 + -4t) + 6 = 5(2t + 3) + -13 Reorder the terms: 8 + 6 + -4t = 5(2t + 3) + -13 Combine like terms: 8 + 6 = 14 14 + -4t = 5(2t + 3) + -13 Reorder the terms: 14 + -4t = 5(3 + 2t) + -13 14 + -4t = (3 * 5 + 2t * 5) + -13 14 + -4t = (15 + 10t) + -13 Reorder the terms: 14 + -4t = 15 + -13 + 10t Combine like terms: 15 + -13 = 2 14 + -4t = 2 + 10t Solving 14 + -4t = 2 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 14 + -4t + -10t = 2 + 10t + -10t Combine like terms: -4t + -10t = -14t 14 + -14t = 2 + 10t + -10t Combine like terms: 10t + -10t = 0 14 + -14t = 2 + 0 14 + -14t = 2 Add '-14' to each side of the equation. 14 + -14 + -14t = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -14t = 2 + -14 -14t = 2 + -14 Combine like terms: 2 + -14 = -12 -14t = -12 Divide each side by '-14'. t = 0.8571428571 Simplifying t = 0.8571428571
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