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Simplifying -3(v + 1) + 8(v + -10) = v + -7 + 4v + 12 Reorder the terms: -3(1 + v) + 8(v + -10) = v + -7 + 4v + 12 (1 * -3 + v * -3) + 8(v + -10) = v + -7 + 4v + 12 (-3 + -3v) + 8(v + -10) = v + -7 + 4v + 12 Reorder the terms: -3 + -3v + 8(-10 + v) = v + -7 + 4v + 12 -3 + -3v + (-10 * 8 + v * 8) = v + -7 + 4v + 12 -3 + -3v + (-80 + 8v) = v + -7 + 4v + 12 Reorder the terms: -3 + -80 + -3v + 8v = v + -7 + 4v + 12 Combine like terms: -3 + -80 = -83 -83 + -3v + 8v = v + -7 + 4v + 12 Combine like terms: -3v + 8v = 5v -83 + 5v = v + -7 + 4v + 12 Reorder the terms: -83 + 5v = -7 + 12 + v + 4v Combine like terms: -7 + 12 = 5 -83 + 5v = 5 + v + 4v Combine like terms: v + 4v = 5v -83 + 5v = 5 + 5v Add '-5v' to each side of the equation. -83 + 5v + -5v = 5 + 5v + -5v Combine like terms: 5v + -5v = 0 -83 + 0 = 5 + 5v + -5v -83 = 5 + 5v + -5v Combine like terms: 5v + -5v = 0 -83 = 5 + 0 -83 = 5 Solving -83 = 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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