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Simplifying 4v + 20 = 8(v + 3) Reorder the terms: 20 + 4v = 8(v + 3) Reorder the terms: 20 + 4v = 8(3 + v) 20 + 4v = (3 * 8 + v * 8) 20 + 4v = (24 + 8v) Solving 20 + 4v = 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. 20 + 4v + -8v = 24 + 8v + -8v Combine like terms: 4v + -8v = -4v 20 + -4v = 24 + 8v + -8v Combine like terms: 8v + -8v = 0 20 + -4v = 24 + 0 20 + -4v = 24 Add '-20' to each side of the equation. 20 + -20 + -4v = 24 + -20 Combine like terms: 20 + -20 = 0 0 + -4v = 24 + -20 -4v = 24 + -20 Combine like terms: 24 + -20 = 4 -4v = 4 Divide each side by '-4'. v = -1 Simplifying v = -1
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