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Simplifying -4(7v + -7) = 5 + -5v Reorder the terms: -4(-7 + 7v) = 5 + -5v (-7 * -4 + 7v * -4) = 5 + -5v (28 + -28v) = 5 + -5v Solving 28 + -28v = 5 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 28 + -28v + 5v = 5 + -5v + 5v Combine like terms: -28v + 5v = -23v 28 + -23v = 5 + -5v + 5v Combine like terms: -5v + 5v = 0 28 + -23v = 5 + 0 28 + -23v = 5 Add '-28' to each side of the equation. 28 + -28 + -23v = 5 + -28 Combine like terms: 28 + -28 = 0 0 + -23v = 5 + -28 -23v = 5 + -28 Combine like terms: 5 + -28 = -23 -23v = -23 Divide each side by '-23'. v = 1 Simplifying v = 1
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