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Simplifying 6v + 18 = 6(8 + 6v) Reorder the terms: 18 + 6v = 6(8 + 6v) 18 + 6v = (8 * 6 + 6v * 6) 18 + 6v = (48 + 36v) Solving 18 + 6v = 48 + 36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-36v' to each side of the equation. 18 + 6v + -36v = 48 + 36v + -36v Combine like terms: 6v + -36v = -30v 18 + -30v = 48 + 36v + -36v Combine like terms: 36v + -36v = 0 18 + -30v = 48 + 0 18 + -30v = 48 Add '-18' to each side of the equation. 18 + -18 + -30v = 48 + -18 Combine like terms: 18 + -18 = 0 0 + -30v = 48 + -18 -30v = 48 + -18 Combine like terms: 48 + -18 = 30 -30v = 30 Divide each side by '-30'. v = -1 Simplifying v = -1
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