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Simplifying 54 = 3(3v + -6) + -1v + 8 Reorder the terms: 54 = 3(-6 + 3v) + -1v + 8 54 = (-6 * 3 + 3v * 3) + -1v + 8 54 = (-18 + 9v) + -1v + 8 Reorder the terms: 54 = -18 + 8 + 9v + -1v Combine like terms: -18 + 8 = -10 54 = -10 + 9v + -1v Combine like terms: 9v + -1v = 8v 54 = -10 + 8v Solving 54 = -10 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 54 + -8v = -10 + 8v + -8v Combine like terms: 8v + -8v = 0 54 + -8v = -10 + 0 54 + -8v = -10 Add '-54' to each side of the equation. 54 + -54 + -8v = -10 + -54 Combine like terms: 54 + -54 = 0 0 + -8v = -10 + -54 -8v = -10 + -54 Combine like terms: -10 + -54 = -64 -8v = -64 Divide each side by '-8'. v = 8 Simplifying v = 8
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