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Simplifying 3v + 30 = 6(v + 8) Reorder the terms: 30 + 3v = 6(v + 8) Reorder the terms: 30 + 3v = 6(8 + v) 30 + 3v = (8 * 6 + v * 6) 30 + 3v = (48 + 6v) Solving 30 + 3v = 48 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 30 + 3v + -6v = 48 + 6v + -6v Combine like terms: 3v + -6v = -3v 30 + -3v = 48 + 6v + -6v Combine like terms: 6v + -6v = 0 30 + -3v = 48 + 0 30 + -3v = 48 Add '-30' to each side of the equation. 30 + -30 + -3v = 48 + -30 Combine like terms: 30 + -30 = 0 0 + -3v = 48 + -30 -3v = 48 + -30 Combine like terms: 48 + -30 = 18 -3v = 18 Divide each side by '-3'. v = -6 Simplifying v = -6
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