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Simplifying 8(3 + v) + 32v = 10v (3 * 8 + v * 8) + 32v = 10v (24 + 8v) + 32v = 10v Combine like terms: 8v + 32v = 40v 24 + 40v = 10v Solving 24 + 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. 24 + 40v + -10v = 10v + -10v Combine like terms: 40v + -10v = 30v 24 + 30v = 10v + -10v Combine like terms: 10v + -10v = 0 24 + 30v = 0 Add '-24' to each side of the equation. 24 + -24 + 30v = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 30v = 0 + -24 30v = 0 + -24 Combine like terms: 0 + -24 = -24 30v = -24 Divide each side by '30'. v = -0.8 Simplifying v = -0.8
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