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Simplifying -4(2t + -5) + 6t = 7t + -8 Reorder the terms: -4(-5 + 2t) + 6t = 7t + -8 (-5 * -4 + 2t * -4) + 6t = 7t + -8 (20 + -8t) + 6t = 7t + -8 Combine like terms: -8t + 6t = -2t 20 + -2t = 7t + -8 Reorder the terms: 20 + -2t = -8 + 7t Solving 20 + -2t = -8 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 20 + -2t + -7t = -8 + 7t + -7t Combine like terms: -2t + -7t = -9t 20 + -9t = -8 + 7t + -7t Combine like terms: 7t + -7t = 0 20 + -9t = -8 + 0 20 + -9t = -8 Add '-20' to each side of the equation. 20 + -20 + -9t = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -9t = -8 + -20 -9t = -8 + -20 Combine like terms: -8 + -20 = -28 -9t = -28 Divide each side by '-9'. t = 3.111111111 Simplifying t = 3.111111111
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