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Simplifying -4(v + 7) = 7v + 27 Reorder the terms: -4(7 + v) = 7v + 27 (7 * -4 + v * -4) = 7v + 27 (-28 + -4v) = 7v + 27 Reorder the terms: -28 + -4v = 27 + 7v Solving -28 + -4v = 27 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -28 + -4v + -7v = 27 + 7v + -7v Combine like terms: -4v + -7v = -11v -28 + -11v = 27 + 7v + -7v Combine like terms: 7v + -7v = 0 -28 + -11v = 27 + 0 -28 + -11v = 27 Add '28' to each side of the equation. -28 + 28 + -11v = 27 + 28 Combine like terms: -28 + 28 = 0 0 + -11v = 27 + 28 -11v = 27 + 28 Combine like terms: 27 + 28 = 55 -11v = 55 Divide each side by '-11'. v = -5 Simplifying v = -5
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