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Simplifying 3v + 24 = 6(v + 1) Reorder the terms: 24 + 3v = 6(v + 1) Reorder the terms: 24 + 3v = 6(1 + v) 24 + 3v = (1 * 6 + v * 6) 24 + 3v = (6 + 6v) Solving 24 + 3v = 6 + 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. 24 + 3v + -6v = 6 + 6v + -6v Combine like terms: 3v + -6v = -3v 24 + -3v = 6 + 6v + -6v Combine like terms: 6v + -6v = 0 24 + -3v = 6 + 0 24 + -3v = 6 Add '-24' to each side of the equation. 24 + -24 + -3v = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -3v = 6 + -24 -3v = 6 + -24 Combine like terms: 6 + -24 = -18 -3v = -18 Divide each side by '-3'. v = 6 Simplifying v = 6
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