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Simplifying -1z + -6 + 3 = 4 + -1[6 + -1z + -1(3 + -2z)] Reorder the terms: -6 + 3 + -1z = 4 + -1[6 + -1z + -1(3 + -2z)] Combine like terms: -6 + 3 = -3 -3 + -1z = 4 + -1[6 + -1z + -1(3 + -2z)] -3 + -1z = 4 + -1[6 + -1z + (3 * -1 + -2z * -1)] -3 + -1z = 4 + -1[6 + -1z + (-3 + 2z)] Reorder the terms: -3 + -1z = 4 + -1[6 + -3 + -1z + 2z] Combine like terms: 6 + -3 = 3 -3 + -1z = 4 + -1[3 + -1z + 2z] Combine like terms: -1z + 2z = 1z -3 + -1z = 4 + -1[3 + 1z] -3 + -1z = 4 + [3 * -1 + 1z * -1] -3 + -1z = 4 + [-3 + -1z] Combine like terms: 4 + -3 = 1 -3 + -1z = 1 + -1z Add 'z' to each side of the equation. -3 + -1z + z = 1 + -1z + z Combine like terms: -1z + z = 0 -3 + 0 = 1 + -1z + z -3 = 1 + -1z + z Combine like terms: -1z + z = 0 -3 = 1 + 0 -3 = 1 Solving -3 = 1 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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