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Simplifying 32 = -5(8v + 3) Reorder the terms: 32 = -5(3 + 8v) 32 = (3 * -5 + 8v * -5) 32 = (-15 + -40v) Solving 32 = -15 + -40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '40v' to each side of the equation. 32 + 40v = -15 + -40v + 40v Combine like terms: -40v + 40v = 0 32 + 40v = -15 + 0 32 + 40v = -15 Add '-32' to each side of the equation. 32 + -32 + 40v = -15 + -32 Combine like terms: 32 + -32 = 0 0 + 40v = -15 + -32 40v = -15 + -32 Combine like terms: -15 + -32 = -47 40v = -47 Divide each side by '40'. v = -1.175 Simplifying v = -1.175
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