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Simplifying 12(7 + 10v) = -4 + 8(10v + 11) (7 * 12 + 10v * 12) = -4 + 8(10v + 11) (84 + 120v) = -4 + 8(10v + 11) Reorder the terms: 84 + 120v = -4 + 8(11 + 10v) 84 + 120v = -4 + (11 * 8 + 10v * 8) 84 + 120v = -4 + (88 + 80v) Combine like terms: -4 + 88 = 84 84 + 120v = 84 + 80v Add '-84' to each side of the equation. 84 + -84 + 120v = 84 + -84 + 80v Combine like terms: 84 + -84 = 0 0 + 120v = 84 + -84 + 80v 120v = 84 + -84 + 80v Combine like terms: 84 + -84 = 0 120v = 0 + 80v 120v = 80v Solving 120v = 80v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-80v' to each side of the equation. 120v + -80v = 80v + -80v Combine like terms: 120v + -80v = 40v 40v = 80v + -80v Combine like terms: 80v + -80v = 0 40v = 0 Divide each side by '40'. v = 0 Simplifying v = 0
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