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