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Simplifying -9 = 7(7v + 8) + 4(5v + 1) Reorder the terms: -9 = 7(8 + 7v) + 4(5v + 1) -9 = (8 * 7 + 7v * 7) + 4(5v + 1) -9 = (56 + 49v) + 4(5v + 1) Reorder the terms: -9 = 56 + 49v + 4(1 + 5v) -9 = 56 + 49v + (1 * 4 + 5v * 4) -9 = 56 + 49v + (4 + 20v) Reorder the terms: -9 = 56 + 4 + 49v + 20v Combine like terms: 56 + 4 = 60 -9 = 60 + 49v + 20v Combine like terms: 49v + 20v = 69v -9 = 60 + 69v Solving -9 = 60 + 69v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-69v' to each side of the equation. -9 + -69v = 60 + 69v + -69v Combine like terms: 69v + -69v = 0 -9 + -69v = 60 + 0 -9 + -69v = 60 Add '9' to each side of the equation. -9 + 9 + -69v = 60 + 9 Combine like terms: -9 + 9 = 0 0 + -69v = 60 + 9 -69v = 60 + 9 Combine like terms: 60 + 9 = 69 -69v = 69 Divide each side by '-69'. v = -1 Simplifying v = -1
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