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Simplifying 7(v + -6) = 9v + -28 Reorder the terms: 7(-6 + v) = 9v + -28 (-6 * 7 + v * 7) = 9v + -28 (-42 + 7v) = 9v + -28 Reorder the terms: -42 + 7v = -28 + 9v Solving -42 + 7v = -28 + 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 = -28 + 9v + -9v Combine like terms: 7v + -9v = -2v -42 + -2v = -28 + 9v + -9v Combine like terms: 9v + -9v = 0 -42 + -2v = -28 + 0 -42 + -2v = -28 Add '42' to each side of the equation. -42 + 42 + -2v = -28 + 42 Combine like terms: -42 + 42 = 0 0 + -2v = -28 + 42 -2v = -28 + 42 Combine like terms: -28 + 42 = 14 -2v = 14 Divide each side by '-2'. v = -7 Simplifying v = -7
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