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Simplifying 10 = 5(v + 6) + 5(5v + 2) Reorder the terms: 10 = 5(6 + v) + 5(5v + 2) 10 = (6 * 5 + v * 5) + 5(5v + 2) 10 = (30 + 5v) + 5(5v + 2) Reorder the terms: 10 = 30 + 5v + 5(2 + 5v) 10 = 30 + 5v + (2 * 5 + 5v * 5) 10 = 30 + 5v + (10 + 25v) Reorder the terms: 10 = 30 + 10 + 5v + 25v Combine like terms: 30 + 10 = 40 10 = 40 + 5v + 25v Combine like terms: 5v + 25v = 30v 10 = 40 + 30v Solving 10 = 40 + 30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30v' to each side of the equation. 10 + -30v = 40 + 30v + -30v Combine like terms: 30v + -30v = 0 10 + -30v = 40 + 0 10 + -30v = 40 Add '-10' to each side of the equation. 10 + -10 + -30v = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -30v = 40 + -10 -30v = 40 + -10 Combine like terms: 40 + -10 = 30 -30v = 30 Divide each side by '-30'. v = -1 Simplifying v = -1
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