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Simplifying 6z + -5(z + 1) = 4(z + -5) + -3z Reorder the terms: 6z + -5(1 + z) = 4(z + -5) + -3z 6z + (1 * -5 + z * -5) = 4(z + -5) + -3z 6z + (-5 + -5z) = 4(z + -5) + -3z Reorder the terms: -5 + 6z + -5z = 4(z + -5) + -3z Combine like terms: 6z + -5z = 1z -5 + 1z = 4(z + -5) + -3z Reorder the terms: -5 + 1z = 4(-5 + z) + -3z -5 + 1z = (-5 * 4 + z * 4) + -3z -5 + 1z = (-20 + 4z) + -3z Combine like terms: 4z + -3z = 1z -5 + 1z = -20 + 1z Add '-1z' to each side of the equation. -5 + 1z + -1z = -20 + 1z + -1z Combine like terms: 1z + -1z = 0 -5 + 0 = -20 + 1z + -1z -5 = -20 + 1z + -1z Combine like terms: 1z + -1z = 0 -5 = -20 + 0 -5 = -20 Solving -5 = -20 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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