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Simplifying 8(v + 7) + -2v = 32 Reorder the terms: 8(7 + v) + -2v = 32 (7 * 8 + v * 8) + -2v = 32 (56 + 8v) + -2v = 32 Combine like terms: 8v + -2v = 6v 56 + 6v = 32 Solving 56 + 6v = 32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 6v = 32 + -56 Combine like terms: 56 + -56 = 0 0 + 6v = 32 + -56 6v = 32 + -56 Combine like terms: 32 + -56 = -24 6v = -24 Divide each side by '6'. v = -4 Simplifying v = -4
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