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Simplifying -2(t + -2) + 4t = 7t + -1 Reorder the terms: -2(-2 + t) + 4t = 7t + -1 (-2 * -2 + t * -2) + 4t = 7t + -1 (4 + -2t) + 4t = 7t + -1 Combine like terms: -2t + 4t = 2t 4 + 2t = 7t + -1 Reorder the terms: 4 + 2t = -1 + 7t Solving 4 + 2t = -1 + 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. 4 + 2t + -7t = -1 + 7t + -7t Combine like terms: 2t + -7t = -5t 4 + -5t = -1 + 7t + -7t Combine like terms: 7t + -7t = 0 4 + -5t = -1 + 0 4 + -5t = -1 Add '-4' to each side of the equation. 4 + -4 + -5t = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -5t = -1 + -4 -5t = -1 + -4 Combine like terms: -1 + -4 = -5 -5t = -5 Divide each side by '-5'. t = 1 Simplifying t = 1
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