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Simplifying 7(v + -6) = -9v + -10 Reorder the terms: 7(-6 + v) = -9v + -10 (-6 * 7 + v * 7) = -9v + -10 (-42 + 7v) = -9v + -10 Reorder the terms: -42 + 7v = -10 + -9v Solving -42 + 7v = -10 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -42 + 7v + 9v = -10 + -9v + 9v Combine like terms: 7v + 9v = 16v -42 + 16v = -10 + -9v + 9v Combine like terms: -9v + 9v = 0 -42 + 16v = -10 + 0 -42 + 16v = -10 Add '42' to each side of the equation. -42 + 42 + 16v = -10 + 42 Combine like terms: -42 + 42 = 0 0 + 16v = -10 + 42 16v = -10 + 42 Combine like terms: -10 + 42 = 32 16v = 32 Divide each side by '16'. v = 2 Simplifying v = 2
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