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Simplifying -5 + 7v = 6(v + 4) Reorder the terms: -5 + 7v = 6(4 + v) -5 + 7v = (4 * 6 + v * 6) -5 + 7v = (24 + 6v) Solving -5 + 7v = 24 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -5 + 7v + -6v = 24 + 6v + -6v Combine like terms: 7v + -6v = 1v -5 + 1v = 24 + 6v + -6v Combine like terms: 6v + -6v = 0 -5 + 1v = 24 + 0 -5 + 1v = 24 Add '5' to each side of the equation. -5 + 5 + 1v = 24 + 5 Combine like terms: -5 + 5 = 0 0 + 1v = 24 + 5 1v = 24 + 5 Combine like terms: 24 + 5 = 29 1v = 29 Divide each side by '1'. v = 29 Simplifying v = 29
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