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Simplifying 36 + -5v = -6(7v + 7) + -2v Reorder the terms: 36 + -5v = -6(7 + 7v) + -2v 36 + -5v = (7 * -6 + 7v * -6) + -2v 36 + -5v = (-42 + -42v) + -2v Combine like terms: -42v + -2v = -44v 36 + -5v = -42 + -44v Solving 36 + -5v = -42 + -44v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '44v' to each side of the equation. 36 + -5v + 44v = -42 + -44v + 44v Combine like terms: -5v + 44v = 39v 36 + 39v = -42 + -44v + 44v Combine like terms: -44v + 44v = 0 36 + 39v = -42 + 0 36 + 39v = -42 Add '-36' to each side of the equation. 36 + -36 + 39v = -42 + -36 Combine like terms: 36 + -36 = 0 0 + 39v = -42 + -36 39v = -42 + -36 Combine like terms: -42 + -36 = -78 39v = -78 Divide each side by '39'. v = -2 Simplifying v = -2
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