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Simplifying -4(3t + -2) + 2t = 4t + -5 Reorder the terms: -4(-2 + 3t) + 2t = 4t + -5 (-2 * -4 + 3t * -4) + 2t = 4t + -5 (8 + -12t) + 2t = 4t + -5 Combine like terms: -12t + 2t = -10t 8 + -10t = 4t + -5 Reorder the terms: 8 + -10t = -5 + 4t Solving 8 + -10t = -5 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 8 + -10t + -4t = -5 + 4t + -4t Combine like terms: -10t + -4t = -14t 8 + -14t = -5 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + -14t = -5 + 0 8 + -14t = -5 Add '-8' to each side of the equation. 8 + -8 + -14t = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -14t = -5 + -8 -14t = -5 + -8 Combine like terms: -5 + -8 = -13 -14t = -13 Divide each side by '-14'. t = 0.9285714286 Simplifying t = 0.9285714286
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