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Simplifying -4(v + -7) = -5(1 + 3v) Reorder the terms: -4(-7 + v) = -5(1 + 3v) (-7 * -4 + v * -4) = -5(1 + 3v) (28 + -4v) = -5(1 + 3v) 28 + -4v = (1 * -5 + 3v * -5) 28 + -4v = (-5 + -15v) Solving 28 + -4v = -5 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. 28 + -4v + 15v = -5 + -15v + 15v Combine like terms: -4v + 15v = 11v 28 + 11v = -5 + -15v + 15v Combine like terms: -15v + 15v = 0 28 + 11v = -5 + 0 28 + 11v = -5 Add '-28' to each side of the equation. 28 + -28 + 11v = -5 + -28 Combine like terms: 28 + -28 = 0 0 + 11v = -5 + -28 11v = -5 + -28 Combine like terms: -5 + -28 = -33 11v = -33 Divide each side by '11'. v = -3 Simplifying v = -3
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