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Simplifying 4(v + 4) + -7v = -14 Reorder the terms: 4(4 + v) + -7v = -14 (4 * 4 + v * 4) + -7v = -14 (16 + 4v) + -7v = -14 Combine like terms: 4v + -7v = -3v 16 + -3v = -14 Solving 16 + -3v = -14 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3v = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -3v = -14 + -16 -3v = -14 + -16 Combine like terms: -14 + -16 = -30 -3v = -30 Divide each side by '-3'. v = 10 Simplifying v = 10
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