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Simplifying -7v + -46 = -4(v + 7) Reorder the terms: -46 + -7v = -4(v + 7) Reorder the terms: -46 + -7v = -4(7 + v) -46 + -7v = (7 * -4 + v * -4) -46 + -7v = (-28 + -4v) Solving -46 + -7v = -28 + -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 + -7v + 4v = -28 + -4v + 4v Combine like terms: -7v + 4v = -3v -46 + -3v = -28 + -4v + 4v Combine like terms: -4v + 4v = 0 -46 + -3v = -28 + 0 -46 + -3v = -28 Add '46' to each side of the equation. -46 + 46 + -3v = -28 + 46 Combine like terms: -46 + 46 = 0 0 + -3v = -28 + 46 -3v = -28 + 46 Combine like terms: -28 + 46 = 18 -3v = 18 Divide each side by '-3'. v = -6 Simplifying v = -6
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