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Simplifying -30 = 5v + 5(v + 6) Reorder the terms: -30 = 5v + 5(6 + v) -30 = 5v + (6 * 5 + v * 5) -30 = 5v + (30 + 5v) Reorder the terms: -30 = 30 + 5v + 5v Combine like terms: 5v + 5v = 10v -30 = 30 + 10v Solving -30 = 30 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -30 + -10v = 30 + 10v + -10v Combine like terms: 10v + -10v = 0 -30 + -10v = 30 + 0 -30 + -10v = 30 Add '30' to each side of the equation. -30 + 30 + -10v = 30 + 30 Combine like terms: -30 + 30 = 0 0 + -10v = 30 + 30 -10v = 30 + 30 Combine like terms: 30 + 30 = 60 -10v = 60 Divide each side by '-10'. v = -6 Simplifying v = -6
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