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Simplifying 4(v + -7) + -6v = -16 Reorder the terms: 4(-7 + v) + -6v = -16 (-7 * 4 + v * 4) + -6v = -16 (-28 + 4v) + -6v = -16 Combine like terms: 4v + -6v = -2v -28 + -2v = -16 Solving -28 + -2v = -16 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -2v = -16 + 28 Combine like terms: -28 + 28 = 0 0 + -2v = -16 + 28 -2v = -16 + 28 Combine like terms: -16 + 28 = 12 -2v = 12 Divide each side by '-2'. v = -6 Simplifying v = -6
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