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Simplifying 46 = 5 + -1(4v + -1) Reorder the terms: 46 = 5 + -1(-1 + 4v) 46 = 5 + (-1 * -1 + 4v * -1) 46 = 5 + (1 + -4v) Combine like terms: 5 + 1 = 6 46 = 6 + -4v Solving 46 = 6 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 46 + 4v = 6 + -4v + 4v Combine like terms: -4v + 4v = 0 46 + 4v = 6 + 0 46 + 4v = 6 Add '-46' to each side of the equation. 46 + -46 + 4v = 6 + -46 Combine like terms: 46 + -46 = 0 0 + 4v = 6 + -46 4v = 6 + -46 Combine like terms: 6 + -46 = -40 4v = -40 Divide each side by '4'. v = -10 Simplifying v = -10
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