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Simplifying -6v + -40 = -4(v + 7) Reorder the terms: -40 + -6v = -4(v + 7) Reorder the terms: -40 + -6v = -4(7 + v) -40 + -6v = (7 * -4 + v * -4) -40 + -6v = (-28 + -4v) Solving -40 + -6v = -28 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -40 + -6v + 4v = -28 + -4v + 4v Combine like terms: -6v + 4v = -2v -40 + -2v = -28 + -4v + 4v Combine like terms: -4v + 4v = 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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