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Simplifying 32 = -6(v + -4) + -2(7v + -4) Reorder the terms: 32 = -6(-4 + v) + -2(7v + -4) 32 = (-4 * -6 + v * -6) + -2(7v + -4) 32 = (24 + -6v) + -2(7v + -4) Reorder the terms: 32 = 24 + -6v + -2(-4 + 7v) 32 = 24 + -6v + (-4 * -2 + 7v * -2) 32 = 24 + -6v + (8 + -14v) Reorder the terms: 32 = 24 + 8 + -6v + -14v Combine like terms: 24 + 8 = 32 32 = 32 + -6v + -14v Combine like terms: -6v + -14v = -20v 32 = 32 + -20v Add '-32' to each side of the equation. 32 + -32 = 32 + -32 + -20v Combine like terms: 32 + -32 = 0 0 = 32 + -32 + -20v Combine like terms: 32 + -32 = 0 0 = 0 + -20v 0 = -20v Solving 0 = -20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '20v' to each side of the equation. 0 + 20v = -20v + 20v Remove the zero: 20v = -20v + 20v Combine like terms: -20v + 20v = 0 20v = 0 Divide each side by '20'. v = 0 Simplifying v = 0
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