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Simplifying 9v + -64 = 4 + 8(5v + 7) Reorder the terms: -64 + 9v = 4 + 8(5v + 7) Reorder the terms: -64 + 9v = 4 + 8(7 + 5v) -64 + 9v = 4 + (7 * 8 + 5v * 8) -64 + 9v = 4 + (56 + 40v) Combine like terms: 4 + 56 = 60 -64 + 9v = 60 + 40v Solving -64 + 9v = 60 + 40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-40v' to each side of the equation. -64 + 9v + -40v = 60 + 40v + -40v Combine like terms: 9v + -40v = -31v -64 + -31v = 60 + 40v + -40v Combine like terms: 40v + -40v = 0 -64 + -31v = 60 + 0 -64 + -31v = 60 Add '64' to each side of the equation. -64 + 64 + -31v = 60 + 64 Combine like terms: -64 + 64 = 0 0 + -31v = 60 + 64 -31v = 60 + 64 Combine like terms: 60 + 64 = 124 -31v = 124 Divide each side by '-31'. v = -4 Simplifying v = -4
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