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Simplifying 4(v + -7) = 6v + -46 Reorder the terms: 4(-7 + v) = 6v + -46 (-7 * 4 + v * 4) = 6v + -46 (-28 + 4v) = 6v + -46 Reorder the terms: -28 + 4v = -46 + 6v Solving -28 + 4v = -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. -28 + 4v + -6v = -46 + 6v + -6v Combine like terms: 4v + -6v = -2v -28 + -2v = -46 + 6v + -6v Combine like terms: 6v + -6v = 0 -28 + -2v = -46 + 0 -28 + -2v = -46 Add '28' to each side of the equation. -28 + 28 + -2v = -46 + 28 Combine like terms: -28 + 28 = 0 0 + -2v = -46 + 28 -2v = -46 + 28 Combine like terms: -46 + 28 = -18 -2v = -18 Divide each side by '-2'. v = 9 Simplifying v = 9
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