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Simplifying -9v + -48 = -6(v + 3) Reorder the terms: -48 + -9v = -6(v + 3) Reorder the terms: -48 + -9v = -6(3 + v) -48 + -9v = (3 * -6 + v * -6) -48 + -9v = (-18 + -6v) Solving -48 + -9v = -18 + -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. -48 + -9v + 6v = -18 + -6v + 6v Combine like terms: -9v + 6v = -3v -48 + -3v = -18 + -6v + 6v Combine like terms: -6v + 6v = 0 -48 + -3v = -18 + 0 -48 + -3v = -18 Add '48' to each side of the equation. -48 + 48 + -3v = -18 + 48 Combine like terms: -48 + 48 = 0 0 + -3v = -18 + 48 -3v = -18 + 48 Combine like terms: -18 + 48 = 30 -3v = 30 Divide each side by '-3'. v = -10 Simplifying v = -10
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