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Simplifying 14 + -1(4v + 4) = 4v + -10 Reorder the terms: 14 + -1(4 + 4v) = 4v + -10 14 + (4 * -1 + 4v * -1) = 4v + -10 14 + (-4 + -4v) = 4v + -10 Combine like terms: 14 + -4 = 10 10 + -4v = 4v + -10 Reorder the terms: 10 + -4v = -10 + 4v Solving 10 + -4v = -10 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 10 + -4v + -4v = -10 + 4v + -4v Combine like terms: -4v + -4v = -8v 10 + -8v = -10 + 4v + -4v Combine like terms: 4v + -4v = 0 10 + -8v = -10 + 0 10 + -8v = -10 Add '-10' to each side of the equation. 10 + -10 + -8v = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -8v = -10 + -10 -8v = -10 + -10 Combine like terms: -10 + -10 = -20 -8v = -20 Divide each side by '-8'. v = 2.5 Simplifying v = 2.5
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