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Simplifying -5(2v + 6) = 18 + -4v Reorder the terms: -5(6 + 2v) = 18 + -4v (6 * -5 + 2v * -5) = 18 + -4v (-30 + -10v) = 18 + -4v Solving -30 + -10v = 18 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -30 + -10v + 4v = 18 + -4v + 4v Combine like terms: -10v + 4v = -6v -30 + -6v = 18 + -4v + 4v Combine like terms: -4v + 4v = 0 -30 + -6v = 18 + 0 -30 + -6v = 18 Add '30' to each side of the equation. -30 + 30 + -6v = 18 + 30 Combine like terms: -30 + 30 = 0 0 + -6v = 18 + 30 -6v = 18 + 30 Combine like terms: 18 + 30 = 48 -6v = 48 Divide each side by '-6'. v = -8 Simplifying v = -8
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