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Simplifying -7(v + 4) = 8v + 2 Reorder the terms: -7(4 + v) = 8v + 2 (4 * -7 + v * -7) = 8v + 2 (-28 + -7v) = 8v + 2 Reorder the terms: -28 + -7v = 2 + 8v Solving -28 + -7v = 2 + 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. -28 + -7v + -8v = 2 + 8v + -8v Combine like terms: -7v + -8v = -15v -28 + -15v = 2 + 8v + -8v Combine like terms: 8v + -8v = 0 -28 + -15v = 2 + 0 -28 + -15v = 2 Add '28' to each side of the equation. -28 + 28 + -15v = 2 + 28 Combine like terms: -28 + 28 = 0 0 + -15v = 2 + 28 -15v = 2 + 28 Combine like terms: 2 + 28 = 30 -15v = 30 Divide each side by '-15'. v = -2 Simplifying v = -2
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