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Simplifying 3(v + -4) = 7v + -48 Reorder the terms: 3(-4 + v) = 7v + -48 (-4 * 3 + v * 3) = 7v + -48 (-12 + 3v) = 7v + -48 Reorder the terms: -12 + 3v = -48 + 7v Solving -12 + 3v = -48 + 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. -12 + 3v + -7v = -48 + 7v + -7v Combine like terms: 3v + -7v = -4v -12 + -4v = -48 + 7v + -7v Combine like terms: 7v + -7v = 0 -12 + -4v = -48 + 0 -12 + -4v = -48 Add '12' to each side of the equation. -12 + 12 + -4v = -48 + 12 Combine like terms: -12 + 12 = 0 0 + -4v = -48 + 12 -4v = -48 + 12 Combine like terms: -48 + 12 = -36 -4v = -36 Divide each side by '-4'. v = 9 Simplifying v = 9
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