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Simplifying 5(v + -1) + -2(v + 2) = -1(9 + -3v) Reorder the terms: 5(-1 + v) + -2(v + 2) = -1(9 + -3v) (-1 * 5 + v * 5) + -2(v + 2) = -1(9 + -3v) (-5 + 5v) + -2(v + 2) = -1(9 + -3v) Reorder the terms: -5 + 5v + -2(2 + v) = -1(9 + -3v) -5 + 5v + (2 * -2 + v * -2) = -1(9 + -3v) -5 + 5v + (-4 + -2v) = -1(9 + -3v) Reorder the terms: -5 + -4 + 5v + -2v = -1(9 + -3v) Combine like terms: -5 + -4 = -9 -9 + 5v + -2v = -1(9 + -3v) Combine like terms: 5v + -2v = 3v -9 + 3v = -1(9 + -3v) -9 + 3v = (9 * -1 + -3v * -1) -9 + 3v = (-9 + 3v) Add '9' to each side of the equation. -9 + 9 + 3v = -9 + 9 + 3v Combine like terms: -9 + 9 = 0 0 + 3v = -9 + 9 + 3v 3v = -9 + 9 + 3v Combine like terms: -9 + 9 = 0 3v = 0 + 3v 3v = 3v Add '-3v' to each side of the equation. 3v + -3v = 3v + -3v Combine like terms: 3v + -3v = 0 0 = 3v + -3v Combine like terms: 3v + -3v = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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