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Simplifying 5v + -32 = 3(-2 + 6v) Reorder the terms: -32 + 5v = 3(-2 + 6v) -32 + 5v = (-2 * 3 + 6v * 3) -32 + 5v = (-6 + 18v) Solving -32 + 5v = -6 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -32 + 5v + -18v = -6 + 18v + -18v Combine like terms: 5v + -18v = -13v -32 + -13v = -6 + 18v + -18v Combine like terms: 18v + -18v = 0 -32 + -13v = -6 + 0 -32 + -13v = -6 Add '32' to each side of the equation. -32 + 32 + -13v = -6 + 32 Combine like terms: -32 + 32 = 0 0 + -13v = -6 + 32 -13v = -6 + 32 Combine like terms: -6 + 32 = 26 -13v = 26 Divide each side by '-13'. v = -2 Simplifying v = -2
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