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Simplifying -10 = 5(v + 6) + 3v Reorder the terms: -10 = 5(6 + v) + 3v -10 = (6 * 5 + v * 5) + 3v -10 = (30 + 5v) + 3v Combine like terms: 5v + 3v = 8v -10 = 30 + 8v Solving -10 = 30 + 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. -10 + -8v = 30 + 8v + -8v Combine like terms: 8v + -8v = 0 -10 + -8v = 30 + 0 -10 + -8v = 30 Add '10' to each side of the equation. -10 + 10 + -8v = 30 + 10 Combine like terms: -10 + 10 = 0 0 + -8v = 30 + 10 -8v = 30 + 10 Combine like terms: 30 + 10 = 40 -8v = 40 Divide each side by '-8'. v = -5 Simplifying v = -5
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