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Simplifying 4z + -3(z + 1) = 4(z + -3) + -3z Reorder the terms: 4z + -3(1 + z) = 4(z + -3) + -3z 4z + (1 * -3 + z * -3) = 4(z + -3) + -3z 4z + (-3 + -3z) = 4(z + -3) + -3z Reorder the terms: -3 + 4z + -3z = 4(z + -3) + -3z Combine like terms: 4z + -3z = 1z -3 + 1z = 4(z + -3) + -3z Reorder the terms: -3 + 1z = 4(-3 + z) + -3z -3 + 1z = (-3 * 4 + z * 4) + -3z -3 + 1z = (-12 + 4z) + -3z Combine like terms: 4z + -3z = 1z -3 + 1z = -12 + 1z Add '-1z' to each side of the equation. -3 + 1z + -1z = -12 + 1z + -1z Combine like terms: 1z + -1z = 0 -3 + 0 = -12 + 1z + -1z -3 = -12 + 1z + -1z Combine like terms: 1z + -1z = 0 -3 = -12 + 0 -3 = -12 Solving -3 = -12 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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