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Simplifying -5(2t + -2) + 7t = 8t + -4 Reorder the terms: -5(-2 + 2t) + 7t = 8t + -4 (-2 * -5 + 2t * -5) + 7t = 8t + -4 (10 + -10t) + 7t = 8t + -4 Combine like terms: -10t + 7t = -3t 10 + -3t = 8t + -4 Reorder the terms: 10 + -3t = -4 + 8t Solving 10 + -3t = -4 + 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. 10 + -3t + -8t = -4 + 8t + -8t Combine like terms: -3t + -8t = -11t 10 + -11t = -4 + 8t + -8t Combine like terms: 8t + -8t = 0 10 + -11t = -4 + 0 10 + -11t = -4 Add '-10' to each side of the equation. 10 + -10 + -11t = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -11t = -4 + -10 -11t = -4 + -10 Combine like terms: -4 + -10 = -14 -11t = -14 Divide each side by '-11'. t = 1.272727273 Simplifying t = 1.272727273
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