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Simplifying -6v + -32 = 4(v + -3) Reorder the terms: -32 + -6v = 4(v + -3) Reorder the terms: -32 + -6v = 4(-3 + v) -32 + -6v = (-3 * 4 + v * 4) -32 + -6v = (-12 + 4v) Solving -32 + -6v = -12 + 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. -32 + -6v + -4v = -12 + 4v + -4v Combine like terms: -6v + -4v = -10v -32 + -10v = -12 + 4v + -4v Combine like terms: 4v + -4v = 0 -32 + -10v = -12 + 0 -32 + -10v = -12 Add '32' to each side of the equation. -32 + 32 + -10v = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -10v = -12 + 32 -10v = -12 + 32 Combine like terms: -12 + 32 = 20 -10v = 20 Divide each side by '-10'. v = -2 Simplifying v = -2
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