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Simplifying 9v + -40 = 7(v + -4) Reorder the terms: -40 + 9v = 7(v + -4) Reorder the terms: -40 + 9v = 7(-4 + v) -40 + 9v = (-4 * 7 + v * 7) -40 + 9v = (-28 + 7v) Solving -40 + 9v = -28 + 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. -40 + 9v + -7v = -28 + 7v + -7v Combine like terms: 9v + -7v = 2v -40 + 2v = -28 + 7v + -7v Combine like terms: 7v + -7v = 0 -40 + 2v = -28 + 0 -40 + 2v = -28 Add '40' to each side of the equation. -40 + 40 + 2v = -28 + 40 Combine like terms: -40 + 40 = 0 0 + 2v = -28 + 40 2v = -28 + 40 Combine like terms: -28 + 40 = 12 2v = 12 Divide each side by '2'. v = 6 Simplifying v = 6
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