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Simplifying 42 = 6(v + 10) Reorder the terms: 42 = 6(10 + v) 42 = (10 * 6 + v * 6) 42 = (60 + 6v) Solving 42 = 60 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 42 + -6v = 60 + 6v + -6v Combine like terms: 6v + -6v = 0 42 + -6v = 60 + 0 42 + -6v = 60 Add '-42' to each side of the equation. 42 + -42 + -6v = 60 + -42 Combine like terms: 42 + -42 = 0 0 + -6v = 60 + -42 -6v = 60 + -42 Combine like terms: 60 + -42 = 18 -6v = 18 Divide each side by '-6'. v = -3 Simplifying v = -3
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