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Simplifying -3(5v + 2) = -5v + 24 Reorder the terms: -3(2 + 5v) = -5v + 24 (2 * -3 + 5v * -3) = -5v + 24 (-6 + -15v) = -5v + 24 Reorder the terms: -6 + -15v = 24 + -5v Solving -6 + -15v = 24 + -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. -6 + -15v + 5v = 24 + -5v + 5v Combine like terms: -15v + 5v = -10v -6 + -10v = 24 + -5v + 5v Combine like terms: -5v + 5v = 0 -6 + -10v = 24 + 0 -6 + -10v = 24 Add '6' to each side of the equation. -6 + 6 + -10v = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -10v = 24 + 6 -10v = 24 + 6 Combine like terms: 24 + 6 = 30 -10v = 30 Divide each side by '-10'. v = -3 Simplifying v = -3
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