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Simplifying -7(v + -6) = 39 + -6v Reorder the terms: -7(-6 + v) = 39 + -6v (-6 * -7 + v * -7) = 39 + -6v (42 + -7v) = 39 + -6v Solving 42 + -7v = 39 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 42 + -7v + 6v = 39 + -6v + 6v Combine like terms: -7v + 6v = -1v 42 + -1v = 39 + -6v + 6v Combine like terms: -6v + 6v = 0 42 + -1v = 39 + 0 42 + -1v = 39 Add '-42' to each side of the equation. 42 + -42 + -1v = 39 + -42 Combine like terms: 42 + -42 = 0 0 + -1v = 39 + -42 -1v = 39 + -42 Combine like terms: 39 + -42 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3
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