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Simplifying 35 + -6v = -8v + -7(v + 4) Reorder the terms: 35 + -6v = -8v + -7(4 + v) 35 + -6v = -8v + (4 * -7 + v * -7) 35 + -6v = -8v + (-28 + -7v) Reorder the terms: 35 + -6v = -28 + -8v + -7v Combine like terms: -8v + -7v = -15v 35 + -6v = -28 + -15v Solving 35 + -6v = -28 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. 35 + -6v + 15v = -28 + -15v + 15v Combine like terms: -6v + 15v = 9v 35 + 9v = -28 + -15v + 15v Combine like terms: -15v + 15v = 0 35 + 9v = -28 + 0 35 + 9v = -28 Add '-35' to each side of the equation. 35 + -35 + 9v = -28 + -35 Combine like terms: 35 + -35 = 0 0 + 9v = -28 + -35 9v = -28 + -35 Combine like terms: -28 + -35 = -63 9v = -63 Divide each side by '9'. v = -7 Simplifying v = -7
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