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Simplifying -2(4t + -2) + 4t = 2t + -7 Reorder the terms: -2(-2 + 4t) + 4t = 2t + -7 (-2 * -2 + 4t * -2) + 4t = 2t + -7 (4 + -8t) + 4t = 2t + -7 Combine like terms: -8t + 4t = -4t 4 + -4t = 2t + -7 Reorder the terms: 4 + -4t = -7 + 2t Solving 4 + -4t = -7 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 4 + -4t + -2t = -7 + 2t + -2t Combine like terms: -4t + -2t = -6t 4 + -6t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 4 + -6t = -7 + 0 4 + -6t = -7 Add '-4' to each side of the equation. 4 + -4 + -6t = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -6t = -7 + -4 -6t = -7 + -4 Combine like terms: -7 + -4 = -11 -6t = -11 Divide each side by '-6'. t = 1.833333333 Simplifying t = 1.833333333
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