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Simplifying 7v + -46 = -3(v + 2) Reorder the terms: -46 + 7v = -3(v + 2) Reorder the terms: -46 + 7v = -3(2 + v) -46 + 7v = (2 * -3 + v * -3) -46 + 7v = (-6 + -3v) Solving -46 + 7v = -6 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -46 + 7v + 3v = -6 + -3v + 3v Combine like terms: 7v + 3v = 10v -46 + 10v = -6 + -3v + 3v Combine like terms: -3v + 3v = 0 -46 + 10v = -6 + 0 -46 + 10v = -6 Add '46' to each side of the equation. -46 + 46 + 10v = -6 + 46 Combine like terms: -46 + 46 = 0 0 + 10v = -6 + 46 10v = -6 + 46 Combine like terms: -6 + 46 = 40 10v = 40 Divide each side by '10'. v = 4 Simplifying v = 4
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