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Simplifying 7(1 + 7v) + -6 = 8v + -40 (1 * 7 + 7v * 7) + -6 = 8v + -40 (7 + 49v) + -6 = 8v + -40 Reorder the terms: 7 + -6 + 49v = 8v + -40 Combine like terms: 7 + -6 = 1 1 + 49v = 8v + -40 Reorder the terms: 1 + 49v = -40 + 8v Solving 1 + 49v = -40 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 1 + 49v + -8v = -40 + 8v + -8v Combine like terms: 49v + -8v = 41v 1 + 41v = -40 + 8v + -8v Combine like terms: 8v + -8v = 0 1 + 41v = -40 + 0 1 + 41v = -40 Add '-1' to each side of the equation. 1 + -1 + 41v = -40 + -1 Combine like terms: 1 + -1 = 0 0 + 41v = -40 + -1 41v = -40 + -1 Combine like terms: -40 + -1 = -41 41v = -41 Divide each side by '41'. v = -1 Simplifying v = -1
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