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Simplifying 8(v + 4) + -2v = -16 Reorder the terms: 8(4 + v) + -2v = -16 (4 * 8 + v * 8) + -2v = -16 (32 + 8v) + -2v = -16 Combine like terms: 8v + -2v = 6v 32 + 6v = -16 Solving 32 + 6v = -16 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 6v = -16 + -32 Combine like terms: 32 + -32 = 0 0 + 6v = -16 + -32 6v = -16 + -32 Combine like terms: -16 + -32 = -48 6v = -48 Divide each side by '6'. v = -8 Simplifying v = -8
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