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Simplifying -6(v + 7) = 9v + 48 Reorder the terms: -6(7 + v) = 9v + 48 (7 * -6 + v * -6) = 9v + 48 (-42 + -6v) = 9v + 48 Reorder the terms: -42 + -6v = 48 + 9v Solving -42 + -6v = 48 + 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 + -6v + -9v = 48 + 9v + -9v Combine like terms: -6v + -9v = -15v -42 + -15v = 48 + 9v + -9v Combine like terms: 9v + -9v = 0 -42 + -15v = 48 + 0 -42 + -15v = 48 Add '42' to each side of the equation. -42 + 42 + -15v = 48 + 42 Combine like terms: -42 + 42 = 0 0 + -15v = 48 + 42 -15v = 48 + 42 Combine like terms: 48 + 42 = 90 -15v = 90 Divide each side by '-15'. v = -6 Simplifying v = -6
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