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Simplifying 4(v + -9) = 7v + -12 Reorder the terms: 4(-9 + v) = 7v + -12 (-9 * 4 + v * 4) = 7v + -12 (-36 + 4v) = 7v + -12 Reorder the terms: -36 + 4v = -12 + 7v Solving -36 + 4v = -12 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -36 + 4v + -7v = -12 + 7v + -7v Combine like terms: 4v + -7v = -3v -36 + -3v = -12 + 7v + -7v Combine like terms: 7v + -7v = 0 -36 + -3v = -12 + 0 -36 + -3v = -12 Add '36' to each side of the equation. -36 + 36 + -3v = -12 + 36 Combine like terms: -36 + 36 = 0 0 + -3v = -12 + 36 -3v = -12 + 36 Combine like terms: -12 + 36 = 24 -3v = 24 Divide each side by '-3'. v = -8 Simplifying v = -8
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