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Simplifying -5v + 21 = -8(v + -3) Reorder the terms: 21 + -5v = -8(v + -3) Reorder the terms: 21 + -5v = -8(-3 + v) 21 + -5v = (-3 * -8 + v * -8) 21 + -5v = (24 + -8v) Solving 21 + -5v = 24 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 21 + -5v + 8v = 24 + -8v + 8v Combine like terms: -5v + 8v = 3v 21 + 3v = 24 + -8v + 8v Combine like terms: -8v + 8v = 0 21 + 3v = 24 + 0 21 + 3v = 24 Add '-21' to each side of the equation. 21 + -21 + 3v = 24 + -21 Combine like terms: 21 + -21 = 0 0 + 3v = 24 + -21 3v = 24 + -21 Combine like terms: 24 + -21 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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