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Simplifying -9(v + -7) = -5v + 23 Reorder the terms: -9(-7 + v) = -5v + 23 (-7 * -9 + v * -9) = -5v + 23 (63 + -9v) = -5v + 23 Reorder the terms: 63 + -9v = 23 + -5v Solving 63 + -9v = 23 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 63 + -9v + 5v = 23 + -5v + 5v Combine like terms: -9v + 5v = -4v 63 + -4v = 23 + -5v + 5v Combine like terms: -5v + 5v = 0 63 + -4v = 23 + 0 63 + -4v = 23 Add '-63' to each side of the equation. 63 + -63 + -4v = 23 + -63 Combine like terms: 63 + -63 = 0 0 + -4v = 23 + -63 -4v = 23 + -63 Combine like terms: 23 + -63 = -40 -4v = -40 Divide each side by '-4'. v = 10 Simplifying v = 10
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