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Simplifying 7(v + -2) = -8v + -44 Reorder the terms: 7(-2 + v) = -8v + -44 (-2 * 7 + v * 7) = -8v + -44 (-14 + 7v) = -8v + -44 Reorder the terms: -14 + 7v = -44 + -8v Solving -14 + 7v = -44 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -14 + 7v + 8v = -44 + -8v + 8v Combine like terms: 7v + 8v = 15v -14 + 15v = -44 + -8v + 8v Combine like terms: -8v + 8v = 0 -14 + 15v = -44 + 0 -14 + 15v = -44 Add '14' to each side of the equation. -14 + 14 + 15v = -44 + 14 Combine like terms: -14 + 14 = 0 0 + 15v = -44 + 14 15v = -44 + 14 Combine like terms: -44 + 14 = -30 15v = -30 Divide each side by '15'. v = -2 Simplifying v = -2
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