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Simplifying 4(v + -6) + -7v = -6 Reorder the terms: 4(-6 + v) + -7v = -6 (-6 * 4 + v * 4) + -7v = -6 (-24 + 4v) + -7v = -6 Combine like terms: 4v + -7v = -3v -24 + -3v = -6 Solving -24 + -3v = -6 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -3v = -6 + 24 Combine like terms: -24 + 24 = 0 0 + -3v = -6 + 24 -3v = -6 + 24 Combine like terms: -6 + 24 = 18 -3v = 18 Divide each side by '-3'. v = -6 Simplifying v = -6
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