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Simplifying -36 + 5v = 5v + 6(3v + -3) Reorder the terms: -36 + 5v = 5v + 6(-3 + 3v) -36 + 5v = 5v + (-3 * 6 + 3v * 6) -36 + 5v = 5v + (-18 + 18v) Reorder the terms: -36 + 5v = -18 + 5v + 18v Combine like terms: 5v + 18v = 23v -36 + 5v = -18 + 23v Solving -36 + 5v = -18 + 23v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-23v' to each side of the equation. -36 + 5v + -23v = -18 + 23v + -23v Combine like terms: 5v + -23v = -18v -36 + -18v = -18 + 23v + -23v Combine like terms: 23v + -23v = 0 -36 + -18v = -18 + 0 -36 + -18v = -18 Add '36' to each side of the equation. -36 + 36 + -18v = -18 + 36 Combine like terms: -36 + 36 = 0 0 + -18v = -18 + 36 -18v = -18 + 36 Combine like terms: -18 + 36 = 18 -18v = 18 Divide each side by '-18'. v = -1 Simplifying v = -1
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