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Simplifying 7(v + -1) = 3v + -23 Reorder the terms: 7(-1 + v) = 3v + -23 (-1 * 7 + v * 7) = 3v + -23 (-7 + 7v) = 3v + -23 Reorder the terms: -7 + 7v = -23 + 3v Solving -7 + 7v = -23 + 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 = -23 + 3v + -3v Combine like terms: 7v + -3v = 4v -7 + 4v = -23 + 3v + -3v Combine like terms: 3v + -3v = 0 -7 + 4v = -23 + 0 -7 + 4v = -23 Add '7' to each side of the equation. -7 + 7 + 4v = -23 + 7 Combine like terms: -7 + 7 = 0 0 + 4v = -23 + 7 4v = -23 + 7 Combine like terms: -23 + 7 = -16 4v = -16 Divide each side by '4'. v = -4 Simplifying v = -4
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