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Simplifying -2(t + -4) + 7t = 8t + -1 Reorder the terms: -2(-4 + t) + 7t = 8t + -1 (-4 * -2 + t * -2) + 7t = 8t + -1 (8 + -2t) + 7t = 8t + -1 Combine like terms: -2t + 7t = 5t 8 + 5t = 8t + -1 Reorder the terms: 8 + 5t = -1 + 8t Solving 8 + 5t = -1 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 8 + 5t + -8t = -1 + 8t + -8t Combine like terms: 5t + -8t = -3t 8 + -3t = -1 + 8t + -8t Combine like terms: 8t + -8t = 0 8 + -3t = -1 + 0 8 + -3t = -1 Add '-8' to each side of the equation. 8 + -8 + -3t = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -3t = -1 + -8 -3t = -1 + -8 Combine like terms: -1 + -8 = -9 -3t = -9 Divide each side by '-3'. t = 3 Simplifying t = 3
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