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Simplifying -30 = 5(v + 2) + 5v Reorder the terms: -30 = 5(2 + v) + 5v -30 = (2 * 5 + v * 5) + 5v -30 = (10 + 5v) + 5v Combine like terms: 5v + 5v = 10v -30 = 10 + 10v Solving -30 = 10 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -30 + -10v = 10 + 10v + -10v Combine like terms: 10v + -10v = 0 -30 + -10v = 10 + 0 -30 + -10v = 10 Add '30' to each side of the equation. -30 + 30 + -10v = 10 + 30 Combine like terms: -30 + 30 = 0 0 + -10v = 10 + 30 -10v = 10 + 30 Combine like terms: 10 + 30 = 40 -10v = 40 Divide each side by '-10'. v = -4 Simplifying v = -4
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