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Simplifying 4(v + -1) = 7v + 23 Reorder the terms: 4(-1 + v) = 7v + 23 (-1 * 4 + v * 4) = 7v + 23 (-4 + 4v) = 7v + 23 Reorder the terms: -4 + 4v = 23 + 7v Solving -4 + 4v = 23 + 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. -4 + 4v + -7v = 23 + 7v + -7v Combine like terms: 4v + -7v = -3v -4 + -3v = 23 + 7v + -7v Combine like terms: 7v + -7v = 0 -4 + -3v = 23 + 0 -4 + -3v = 23 Add '4' to each side of the equation. -4 + 4 + -3v = 23 + 4 Combine like terms: -4 + 4 = 0 0 + -3v = 23 + 4 -3v = 23 + 4 Combine like terms: 23 + 4 = 27 -3v = 27 Divide each side by '-3'. v = -9 Simplifying v = -9
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