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Simplifying 6(z + 3) = 5(z + -4) + z Reorder the terms: 6(3 + z) = 5(z + -4) + z (3 * 6 + z * 6) = 5(z + -4) + z (18 + 6z) = 5(z + -4) + z Reorder the terms: 18 + 6z = 5(-4 + z) + z 18 + 6z = (-4 * 5 + z * 5) + z 18 + 6z = (-20 + 5z) + z Combine like terms: 5z + z = 6z 18 + 6z = -20 + 6z Add '-6z' to each side of the equation. 18 + 6z + -6z = -20 + 6z + -6z Combine like terms: 6z + -6z = 0 18 + 0 = -20 + 6z + -6z 18 = -20 + 6z + -6z Combine like terms: 6z + -6z = 0 18 = -20 + 0 18 = -20 Solving 18 = -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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