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Simplifying 4 + -1(4v + 7) = 4v + -5 Reorder the terms: 4 + -1(7 + 4v) = 4v + -5 4 + (7 * -1 + 4v * -1) = 4v + -5 4 + (-7 + -4v) = 4v + -5 Combine like terms: 4 + -7 = -3 -3 + -4v = 4v + -5 Reorder the terms: -3 + -4v = -5 + 4v Solving -3 + -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. -3 + -4v + -4v = -5 + 4v + -4v Combine like terms: -4v + -4v = -8v -3 + -8v = -5 + 4v + -4v Combine like terms: 4v + -4v = 0 -3 + -8v = -5 + 0 -3 + -8v = -5 Add '3' to each side of the equation. -3 + 3 + -8v = -5 + 3 Combine like terms: -3 + 3 = 0 0 + -8v = -5 + 3 -8v = -5 + 3 Combine like terms: -5 + 3 = -2 -8v = -2 Divide each side by '-8'. v = 0.25 Simplifying v = 0.25
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