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Simplifying 4v + 40 = -7(4 + -3v) Reorder the terms: 40 + 4v = -7(4 + -3v) 40 + 4v = (4 * -7 + -3v * -7) 40 + 4v = (-28 + 21v) Solving 40 + 4v = -28 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. 40 + 4v + -21v = -28 + 21v + -21v Combine like terms: 4v + -21v = -17v 40 + -17v = -28 + 21v + -21v Combine like terms: 21v + -21v = 0 40 + -17v = -28 + 0 40 + -17v = -28 Add '-40' to each side of the equation. 40 + -40 + -17v = -28 + -40 Combine like terms: 40 + -40 = 0 0 + -17v = -28 + -40 -17v = -28 + -40 Combine like terms: -28 + -40 = -68 -17v = -68 Divide each side by '-17'. v = 4 Simplifying v = 4
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