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