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Simplifying -2(4t + -5) + 4t = 7t + -7 Reorder the terms: -2(-5 + 4t) + 4t = 7t + -7 (-5 * -2 + 4t * -2) + 4t = 7t + -7 (10 + -8t) + 4t = 7t + -7 Combine like terms: -8t + 4t = -4t 10 + -4t = 7t + -7 Reorder the terms: 10 + -4t = -7 + 7t Solving 10 + -4t = -7 + 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. 10 + -4t + -7t = -7 + 7t + -7t Combine like terms: -4t + -7t = -11t 10 + -11t = -7 + 7t + -7t Combine like terms: 7t + -7t = 0 10 + -11t = -7 + 0 10 + -11t = -7 Add '-10' to each side of the equation. 10 + -10 + -11t = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -11t = -7 + -10 -11t = -7 + -10 Combine like terms: -7 + -10 = -17 -11t = -17 Divide each side by '-11'. t = 1.545454545 Simplifying t = 1.545454545
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