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Simplifying 32 = 6v + (v + -4) Reorder the terms: 32 = 6v + (-4 + v) Remove parenthesis around (-4 + v) 32 = 6v + -4 + v Reorder the terms: 32 = -4 + 6v + v Combine like terms: 6v + v = 7v 32 = -4 + 7v Solving 32 = -4 + 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. 32 + -7v = -4 + 7v + -7v Combine like terms: 7v + -7v = 0 32 + -7v = -4 + 0 32 + -7v = -4 Add '-32' to each side of the equation. 32 + -32 + -7v = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -7v = -4 + -32 -7v = -4 + -32 Combine like terms: -4 + -32 = -36 -7v = -36 Divide each side by '-7'. v = 5.142857143 Simplifying v = 5.142857143
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