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Simplifying 6 + -1v = 5(v + 6) Reorder the terms: 6 + -1v = 5(6 + v) 6 + -1v = (6 * 5 + v * 5) 6 + -1v = (30 + 5v) Solving 6 + -1v = 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. 6 + -1v + -5v = 30 + 5v + -5v Combine like terms: -1v + -5v = -6v 6 + -6v = 30 + 5v + -5v Combine like terms: 5v + -5v = 0 6 + -6v = 30 + 0 6 + -6v = 30 Add '-6' to each side of the equation. 6 + -6 + -6v = 30 + -6 Combine like terms: 6 + -6 = 0 0 + -6v = 30 + -6 -6v = 30 + -6 Combine like terms: 30 + -6 = 24 -6v = 24 Divide each side by '-6'. v = -4 Simplifying v = -4
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