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Simplifying 10 + -1(4v + 5) = 4v + -5 Reorder the terms: 10 + -1(5 + 4v) = 4v + -5 10 + (5 * -1 + 4v * -1) = 4v + -5 10 + (-5 + -4v) = 4v + -5 Combine like terms: 10 + -5 = 5 5 + -4v = 4v + -5 Reorder the terms: 5 + -4v = -5 + 4v Solving 5 + -4v = -5 + 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. 5 + -4v + -4v = -5 + 4v + -4v Combine like terms: -4v + -4v = -8v 5 + -8v = -5 + 4v + -4v Combine like terms: 4v + -4v = 0 5 + -8v = -5 + 0 5 + -8v = -5 Add '-5' to each side of the equation. 5 + -5 + -8v = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -8v = -5 + -5 -8v = -5 + -5 Combine like terms: -5 + -5 = -10 -8v = -10 Divide each side by '-8'. v = 1.25 Simplifying v = 1.25
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