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Simplifying -7v + -5 = 4(v + 7) Reorder the terms: -5 + -7v = 4(v + 7) Reorder the terms: -5 + -7v = 4(7 + v) -5 + -7v = (7 * 4 + v * 4) -5 + -7v = (28 + 4v) Solving -5 + -7v = 28 + 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 + -7v + -4v = 28 + 4v + -4v Combine like terms: -7v + -4v = -11v -5 + -11v = 28 + 4v + -4v Combine like terms: 4v + -4v = 0 -5 + -11v = 28 + 0 -5 + -11v = 28 Add '5' to each side of the equation. -5 + 5 + -11v = 28 + 5 Combine like terms: -5 + 5 = 0 0 + -11v = 28 + 5 -11v = 28 + 5 Combine like terms: 28 + 5 = 33 -11v = 33 Divide each side by '-11'. v = -3 Simplifying v = -3
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