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Simplifying 8v + -5 = 3 + 5(v + 12) Reorder the terms: -5 + 8v = 3 + 5(v + 12) Reorder the terms: -5 + 8v = 3 + 5(12 + v) -5 + 8v = 3 + (12 * 5 + v * 5) -5 + 8v = 3 + (60 + 5v) Combine like terms: 3 + 60 = 63 -5 + 8v = 63 + 5v Solving -5 + 8v = 63 + 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. -5 + 8v + -5v = 63 + 5v + -5v Combine like terms: 8v + -5v = 3v -5 + 3v = 63 + 5v + -5v Combine like terms: 5v + -5v = 0 -5 + 3v = 63 + 0 -5 + 3v = 63 Add '5' to each side of the equation. -5 + 5 + 3v = 63 + 5 Combine like terms: -5 + 5 = 0 0 + 3v = 63 + 5 3v = 63 + 5 Combine like terms: 63 + 5 = 68 3v = 68 Divide each side by '3'. v = 22.66666667 Simplifying v = 22.66666667
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