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Simplifying 3(v + 22) = 4(v + 12) Reorder the terms: 3(22 + v) = 4(v + 12) (22 * 3 + v * 3) = 4(v + 12) (66 + 3v) = 4(v + 12) Reorder the terms: 66 + 3v = 4(12 + v) 66 + 3v = (12 * 4 + v * 4) 66 + 3v = (48 + 4v) Solving 66 + 3v = 48 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 66 + 3v + -4v = 48 + 4v + -4v Combine like terms: 3v + -4v = -1v 66 + -1v = 48 + 4v + -4v Combine like terms: 4v + -4v = 0 66 + -1v = 48 + 0 66 + -1v = 48 Add '-66' to each side of the equation. 66 + -66 + -1v = 48 + -66 Combine like terms: 66 + -66 = 0 0 + -1v = 48 + -66 -1v = 48 + -66 Combine like terms: 48 + -66 = -18 -1v = -18 Divide each side by '-1'. v = 18 Simplifying v = 18
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