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Simplifying -40 = -3(v + 3) + -7 Reorder the terms: -40 = -3(3 + v) + -7 -40 = (3 * -3 + v * -3) + -7 -40 = (-9 + -3v) + -7 Reorder the terms: -40 = -9 + -7 + -3v Combine like terms: -9 + -7 = -16 -40 = -16 + -3v Solving -40 = -16 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -40 + 3v = -16 + -3v + 3v Combine like terms: -3v + 3v = 0 -40 + 3v = -16 + 0 -40 + 3v = -16 Add '40' to each side of the equation. -40 + 40 + 3v = -16 + 40 Combine like terms: -40 + 40 = 0 0 + 3v = -16 + 40 3v = -16 + 40 Combine like terms: -16 + 40 = 24 3v = 24 Divide each side by '3'. v = 8 Simplifying v = 8
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