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Simplifying -3v + 21 = 3(v + 1) Reorder the terms: 21 + -3v = 3(v + 1) Reorder the terms: 21 + -3v = 3(1 + v) 21 + -3v = (1 * 3 + v * 3) 21 + -3v = (3 + 3v) Solving 21 + -3v = 3 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 21 + -3v + -3v = 3 + 3v + -3v Combine like terms: -3v + -3v = -6v 21 + -6v = 3 + 3v + -3v Combine like terms: 3v + -3v = 0 21 + -6v = 3 + 0 21 + -6v = 3 Add '-21' to each side of the equation. 21 + -21 + -6v = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -6v = 3 + -21 -6v = 3 + -21 Combine like terms: 3 + -21 = -18 -6v = -18 Divide each side by '-6'. v = 3 Simplifying v = 3
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