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Simplifying 5(3 + v) + 35v = 10v (3 * 5 + v * 5) + 35v = 10v (15 + 5v) + 35v = 10v Combine like terms: 5v + 35v = 40v 15 + 40v = 10v Solving 15 + 40v = 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. 15 + 40v + -10v = 10v + -10v Combine like terms: 40v + -10v = 30v 15 + 30v = 10v + -10v Combine like terms: 10v + -10v = 0 15 + 30v = 0 Add '-15' to each side of the equation. 15 + -15 + 30v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 30v = 0 + -15 30v = 0 + -15 Combine like terms: 0 + -15 = -15 30v = -15 Divide each side by '30'. v = -0.5 Simplifying v = -0.5
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