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Simplifying 4(v + -3) + -7v = -36 Reorder the terms: 4(-3 + v) + -7v = -36 (-3 * 4 + v * 4) + -7v = -36 (-12 + 4v) + -7v = -36 Combine like terms: 4v + -7v = -3v -12 + -3v = -36 Solving -12 + -3v = -36 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -3v = -36 + 12 Combine like terms: -12 + 12 = 0 0 + -3v = -36 + 12 -3v = -36 + 12 Combine like terms: -36 + 12 = -24 -3v = -24 Divide each side by '-3'. v = 8 Simplifying v = 8
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