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Simplifying 5(2 + v) + -10 = -5(v + 3) + -5 (2 * 5 + v * 5) + -10 = -5(v + 3) + -5 (10 + 5v) + -10 = -5(v + 3) + -5 Reorder the terms: 10 + -10 + 5v = -5(v + 3) + -5 Combine like terms: 10 + -10 = 0 0 + 5v = -5(v + 3) + -5 5v = -5(v + 3) + -5 Reorder the terms: 5v = -5(3 + v) + -5 5v = (3 * -5 + v * -5) + -5 5v = (-15 + -5v) + -5 Reorder the terms: 5v = -15 + -5 + -5v Combine like terms: -15 + -5 = -20 5v = -20 + -5v Solving 5v = -20 + -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. 5v + 5v = -20 + -5v + 5v Combine like terms: 5v + 5v = 10v 10v = -20 + -5v + 5v Combine like terms: -5v + 5v = 0 10v = -20 + 0 10v = -20 Divide each side by '10'. v = -2 Simplifying v = -2
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