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Simplifying 6(v + 7) + 2v = -30 Reorder the terms: 6(7 + v) + 2v = -30 (7 * 6 + v * 6) + 2v = -30 (42 + 6v) + 2v = -30 Combine like terms: 6v + 2v = 8v 42 + 8v = -30 Solving 42 + 8v = -30 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 8v = -30 + -42 Combine like terms: 42 + -42 = 0 0 + 8v = -30 + -42 8v = -30 + -42 Combine like terms: -30 + -42 = -72 8v = -72 Divide each side by '8'. v = -9 Simplifying v = -9
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