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Simplifying 8v + -12 = 6(3v + 8) Reorder the terms: -12 + 8v = 6(3v + 8) Reorder the terms: -12 + 8v = 6(8 + 3v) -12 + 8v = (8 * 6 + 3v * 6) -12 + 8v = (48 + 18v) Solving -12 + 8v = 48 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -12 + 8v + -18v = 48 + 18v + -18v Combine like terms: 8v + -18v = -10v -12 + -10v = 48 + 18v + -18v Combine like terms: 18v + -18v = 0 -12 + -10v = 48 + 0 -12 + -10v = 48 Add '12' to each side of the equation. -12 + 12 + -10v = 48 + 12 Combine like terms: -12 + 12 = 0 0 + -10v = 48 + 12 -10v = 48 + 12 Combine like terms: 48 + 12 = 60 -10v = 60 Divide each side by '-10'. v = -6 Simplifying v = -6
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