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Simplifying 21 = 8(v + 6) + -5v Reorder the terms: 21 = 8(6 + v) + -5v 21 = (6 * 8 + v * 8) + -5v 21 = (48 + 8v) + -5v Combine like terms: 8v + -5v = 3v 21 = 48 + 3v Solving 21 = 48 + 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 = 48 + 3v + -3v Combine like terms: 3v + -3v = 0 21 + -3v = 48 + 0 21 + -3v = 48 Add '-21' to each side of the equation. 21 + -21 + -3v = 48 + -21 Combine like terms: 21 + -21 = 0 0 + -3v = 48 + -21 -3v = 48 + -21 Combine like terms: 48 + -21 = 27 -3v = 27 Divide each side by '-3'. v = -9 Simplifying v = -9
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