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Simplifying -5v + -38 = -3(5v + -4) Reorder the terms: -38 + -5v = -3(5v + -4) Reorder the terms: -38 + -5v = -3(-4 + 5v) -38 + -5v = (-4 * -3 + 5v * -3) -38 + -5v = (12 + -15v) Solving -38 + -5v = 12 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. -38 + -5v + 15v = 12 + -15v + 15v Combine like terms: -5v + 15v = 10v -38 + 10v = 12 + -15v + 15v Combine like terms: -15v + 15v = 0 -38 + 10v = 12 + 0 -38 + 10v = 12 Add '38' to each side of the equation. -38 + 38 + 10v = 12 + 38 Combine like terms: -38 + 38 = 0 0 + 10v = 12 + 38 10v = 12 + 38 Combine like terms: 12 + 38 = 50 10v = 50 Divide each side by '10'. v = 5 Simplifying v = 5
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