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Simplifying -5(2t + -4) + 3t = 4t + -8 Reorder the terms: -5(-4 + 2t) + 3t = 4t + -8 (-4 * -5 + 2t * -5) + 3t = 4t + -8 (20 + -10t) + 3t = 4t + -8 Combine like terms: -10t + 3t = -7t 20 + -7t = 4t + -8 Reorder the terms: 20 + -7t = -8 + 4t Solving 20 + -7t = -8 + 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. 20 + -7t + -4t = -8 + 4t + -4t Combine like terms: -7t + -4t = -11t 20 + -11t = -8 + 4t + -4t Combine like terms: 4t + -4t = 0 20 + -11t = -8 + 0 20 + -11t = -8 Add '-20' to each side of the equation. 20 + -20 + -11t = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -11t = -8 + -20 -11t = -8 + -20 Combine like terms: -8 + -20 = -28 -11t = -28 Divide each side by '-11'. t = 2.545454545 Simplifying t = 2.545454545
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