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Simplifying 6(8 + 6v) + 2(v + -4) = 6v + -8v (8 * 6 + 6v * 6) + 2(v + -4) = 6v + -8v (48 + 36v) + 2(v + -4) = 6v + -8v Reorder the terms: 48 + 36v + 2(-4 + v) = 6v + -8v 48 + 36v + (-4 * 2 + v * 2) = 6v + -8v 48 + 36v + (-8 + 2v) = 6v + -8v Reorder the terms: 48 + -8 + 36v + 2v = 6v + -8v Combine like terms: 48 + -8 = 40 40 + 36v + 2v = 6v + -8v Combine like terms: 36v + 2v = 38v 40 + 38v = 6v + -8v Combine like terms: 6v + -8v = -2v 40 + 38v = -2v Solving 40 + 38v = -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 40 + 38v + 2v = -2v + 2v Combine like terms: 38v + 2v = 40v 40 + 40v = -2v + 2v Combine like terms: -2v + 2v = 0 40 + 40v = 0 Add '-40' to each side of the equation. 40 + -40 + 40v = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 40v = 0 + -40 40v = 0 + -40 Combine like terms: 0 + -40 = -40 40v = -40 Divide each side by '40'. v = -1 Simplifying v = -1
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