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Simplifying 7(v + -8) = 3v + -36 Reorder the terms: 7(-8 + v) = 3v + -36 (-8 * 7 + v * 7) = 3v + -36 (-56 + 7v) = 3v + -36 Reorder the terms: -56 + 7v = -36 + 3v Solving -56 + 7v = -36 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -56 + 7v + -3v = -36 + 3v + -3v Combine like terms: 7v + -3v = 4v -56 + 4v = -36 + 3v + -3v Combine like terms: 3v + -3v = 0 -56 + 4v = -36 + 0 -56 + 4v = -36 Add '56' to each side of the equation. -56 + 56 + 4v = -36 + 56 Combine like terms: -56 + 56 = 0 0 + 4v = -36 + 56 4v = -36 + 56 Combine like terms: -36 + 56 = 20 4v = 20 Divide each side by '4'. v = 5 Simplifying v = 5
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