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Simplifying 8v + 48 = 5(v + 6) Reorder the terms: 48 + 8v = 5(v + 6) Reorder the terms: 48 + 8v = 5(6 + v) 48 + 8v = (6 * 5 + v * 5) 48 + 8v = (30 + 5v) Solving 48 + 8v = 30 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 48 + 8v + -5v = 30 + 5v + -5v Combine like terms: 8v + -5v = 3v 48 + 3v = 30 + 5v + -5v Combine like terms: 5v + -5v = 0 48 + 3v = 30 + 0 48 + 3v = 30 Add '-48' to each side of the equation. 48 + -48 + 3v = 30 + -48 Combine like terms: 48 + -48 = 0 0 + 3v = 30 + -48 3v = 30 + -48 Combine like terms: 30 + -48 = -18 3v = -18 Divide each side by '3'. v = -6 Simplifying v = -6
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