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Simplifying 2v + -48 = -8(v + -4) Reorder the terms: -48 + 2v = -8(v + -4) Reorder the terms: -48 + 2v = -8(-4 + v) -48 + 2v = (-4 * -8 + v * -8) -48 + 2v = (32 + -8v) Solving -48 + 2v = 32 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -48 + 2v + 8v = 32 + -8v + 8v Combine like terms: 2v + 8v = 10v -48 + 10v = 32 + -8v + 8v Combine like terms: -8v + 8v = 0 -48 + 10v = 32 + 0 -48 + 10v = 32 Add '48' to each side of the equation. -48 + 48 + 10v = 32 + 48 Combine like terms: -48 + 48 = 0 0 + 10v = 32 + 48 10v = 32 + 48 Combine like terms: 32 + 48 = 80 10v = 80 Divide each side by '10'. v = 8 Simplifying v = 8
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