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Simplifying 10 + -1(4v + 6) = 4v + -4 Reorder the terms: 10 + -1(6 + 4v) = 4v + -4 10 + (6 * -1 + 4v * -1) = 4v + -4 10 + (-6 + -4v) = 4v + -4 Combine like terms: 10 + -6 = 4 4 + -4v = 4v + -4 Reorder the terms: 4 + -4v = -4 + 4v Solving 4 + -4v = -4 + 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. 4 + -4v + -4v = -4 + 4v + -4v Combine like terms: -4v + -4v = -8v 4 + -8v = -4 + 4v + -4v Combine like terms: 4v + -4v = 0 4 + -8v = -4 + 0 4 + -8v = -4 Add '-4' to each side of the equation. 4 + -4 + -8v = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -8v = -4 + -4 -8v = -4 + -4 Combine like terms: -4 + -4 = -8 -8v = -8 Divide each side by '-8'. v = 1 Simplifying v = 1
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