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Simplifying -2(4t + -4) + 4t = 7t + -7 Reorder the terms: -2(-4 + 4t) + 4t = 7t + -7 (-4 * -2 + 4t * -2) + 4t = 7t + -7 (8 + -8t) + 4t = 7t + -7 Combine like terms: -8t + 4t = -4t 8 + -4t = 7t + -7 Reorder the terms: 8 + -4t = -7 + 7t Solving 8 + -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. 8 + -4t + -7t = -7 + 7t + -7t Combine like terms: -4t + -7t = -11t 8 + -11t = -7 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + -11t = -7 + 0 8 + -11t = -7 Add '-8' to each side of the equation. 8 + -8 + -11t = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -11t = -7 + -8 -11t = -7 + -8 Combine like terms: -7 + -8 = -15 -11t = -15 Divide each side by '-11'. t = 1.363636364 Simplifying t = 1.363636364
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