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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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