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Simplifying 4(8 + v) = 8(3y + 9) (8 * 4 + v * 4) = 8(3y + 9) (32 + 4v) = 8(3y + 9) Reorder the terms: 32 + 4v = 8(9 + 3y) 32 + 4v = (9 * 8 + 3y * 8) 32 + 4v = (72 + 24y) Solving 32 + 4v = 72 + 24y Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 4v = 72 + -32 + 24y Combine like terms: 32 + -32 = 0 0 + 4v = 72 + -32 + 24y 4v = 72 + -32 + 24y Combine like terms: 72 + -32 = 40 4v = 40 + 24y Divide each side by '4'. v = 10 + 6y Simplifying v = 10 + 6y
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