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Simplifying -5(2t + -4) + 7t = 8t + -5 Reorder the terms: -5(-4 + 2t) + 7t = 8t + -5 (-4 * -5 + 2t * -5) + 7t = 8t + -5 (20 + -10t) + 7t = 8t + -5 Combine like terms: -10t + 7t = -3t 20 + -3t = 8t + -5 Reorder the terms: 20 + -3t = -5 + 8t Solving 20 + -3t = -5 + 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. 20 + -3t + -8t = -5 + 8t + -8t Combine like terms: -3t + -8t = -11t 20 + -11t = -5 + 8t + -8t Combine like terms: 8t + -8t = 0 20 + -11t = -5 + 0 20 + -11t = -5 Add '-20' to each side of the equation. 20 + -20 + -11t = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -11t = -5 + -20 -11t = -5 + -20 Combine like terms: -5 + -20 = -25 -11t = -25 Divide each side by '-11'. t = 2.272727273 Simplifying t = 2.272727273
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