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Simplifying -6(v + 1) = 2(1 + -3v) + -7 Reorder the terms: -6(1 + v) = 2(1 + -3v) + -7 (1 * -6 + v * -6) = 2(1 + -3v) + -7 (-6 + -6v) = 2(1 + -3v) + -7 -6 + -6v = (1 * 2 + -3v * 2) + -7 -6 + -6v = (2 + -6v) + -7 Reorder the terms: -6 + -6v = 2 + -7 + -6v Combine like terms: 2 + -7 = -5 -6 + -6v = -5 + -6v Add '6v' to each side of the equation. -6 + -6v + 6v = -5 + -6v + 6v Combine like terms: -6v + 6v = 0 -6 + 0 = -5 + -6v + 6v -6 = -5 + -6v + 6v Combine like terms: -6v + 6v = 0 -6 = -5 + 0 -6 = -5 Solving -6 = -5 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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