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Simplifying 7(v + -1) = 3v + -27 Reorder the terms: 7(-1 + v) = 3v + -27 (-1 * 7 + v * 7) = 3v + -27 (-7 + 7v) = 3v + -27 Reorder the terms: -7 + 7v = -27 + 3v Solving -7 + 7v = -27 + 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. -7 + 7v + -3v = -27 + 3v + -3v Combine like terms: 7v + -3v = 4v -7 + 4v = -27 + 3v + -3v Combine like terms: 3v + -3v = 0 -7 + 4v = -27 + 0 -7 + 4v = -27 Add '7' to each side of the equation. -7 + 7 + 4v = -27 + 7 Combine like terms: -7 + 7 = 0 0 + 4v = -27 + 7 4v = -27 + 7 Combine like terms: -27 + 7 = -20 4v = -20 Divide each side by '4'. v = -5 Simplifying v = -5
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