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Simplifying -5v + -40 = -7(v + 4) Reorder the terms: -40 + -5v = -7(v + 4) Reorder the terms: -40 + -5v = -7(4 + v) -40 + -5v = (4 * -7 + v * -7) -40 + -5v = (-28 + -7v) Solving -40 + -5v = -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 + -5v + 7v = -28 + -7v + 7v Combine like terms: -5v + 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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