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Simplifying -30 = 7(v + -6) + -5v Reorder the terms: -30 = 7(-6 + v) + -5v -30 = (-6 * 7 + v * 7) + -5v -30 = (-42 + 7v) + -5v Combine like terms: 7v + -5v = 2v -30 = -42 + 2v Solving -30 = -42 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -30 + -2v = -42 + 2v + -2v Combine like terms: 2v + -2v = 0 -30 + -2v = -42 + 0 -30 + -2v = -42 Add '30' to each side of the equation. -30 + 30 + -2v = -42 + 30 Combine like terms: -30 + 30 = 0 0 + -2v = -42 + 30 -2v = -42 + 30 Combine like terms: -42 + 30 = -12 -2v = -12 Divide each side by '-2'. v = 6 Simplifying v = 6
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