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Simplifying 7(v + 1) = 6v + -46 Reorder the terms: 7(1 + v) = 6v + -46 (1 * 7 + v * 7) = 6v + -46 (7 + 7v) = 6v + -46 Reorder the terms: 7 + 7v = -46 + 6v Solving 7 + 7v = -46 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 7 + 7v + -6v = -46 + 6v + -6v Combine like terms: 7v + -6v = 1v 7 + 1v = -46 + 6v + -6v Combine like terms: 6v + -6v = 0 7 + 1v = -46 + 0 7 + 1v = -46 Add '-7' to each side of the equation. 7 + -7 + 1v = -46 + -7 Combine like terms: 7 + -7 = 0 0 + 1v = -46 + -7 1v = -46 + -7 Combine like terms: -46 + -7 = -53 1v = -53 Divide each side by '1'. v = -53 Simplifying v = -53
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