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Simplifying -4(v + 7) = 5v + 17 Reorder the terms: -4(7 + v) = 5v + 17 (7 * -4 + v * -4) = 5v + 17 (-28 + -4v) = 5v + 17 Reorder the terms: -28 + -4v = 17 + 5v Solving -28 + -4v = 17 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -28 + -4v + -5v = 17 + 5v + -5v Combine like terms: -4v + -5v = -9v -28 + -9v = 17 + 5v + -5v Combine like terms: 5v + -5v = 0 -28 + -9v = 17 + 0 -28 + -9v = 17 Add '28' to each side of the equation. -28 + 28 + -9v = 17 + 28 Combine like terms: -28 + 28 = 0 0 + -9v = 17 + 28 -9v = 17 + 28 Combine like terms: 17 + 28 = 45 -9v = 45 Divide each side by '-9'. v = -5 Simplifying v = -5
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