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Simplifying 5v + -18 = 9(v + -6) Reorder the terms: -18 + 5v = 9(v + -6) Reorder the terms: -18 + 5v = 9(-6 + v) -18 + 5v = (-6 * 9 + v * 9) -18 + 5v = (-54 + 9v) Solving -18 + 5v = -54 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -18 + 5v + -9v = -54 + 9v + -9v Combine like terms: 5v + -9v = -4v -18 + -4v = -54 + 9v + -9v Combine like terms: 9v + -9v = 0 -18 + -4v = -54 + 0 -18 + -4v = -54 Add '18' to each side of the equation. -18 + 18 + -4v = -54 + 18 Combine like terms: -18 + 18 = 0 0 + -4v = -54 + 18 -4v = -54 + 18 Combine like terms: -54 + 18 = -36 -4v = -36 Divide each side by '-4'. v = 9 Simplifying v = 9
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