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Simplifying 9(z + 1) = 8(z + -5) + z Reorder the terms: 9(1 + z) = 8(z + -5) + z (1 * 9 + z * 9) = 8(z + -5) + z (9 + 9z) = 8(z + -5) + z Reorder the terms: 9 + 9z = 8(-5 + z) + z 9 + 9z = (-5 * 8 + z * 8) + z 9 + 9z = (-40 + 8z) + z Combine like terms: 8z + z = 9z 9 + 9z = -40 + 9z Add '-9z' to each side of the equation. 9 + 9z + -9z = -40 + 9z + -9z Combine like terms: 9z + -9z = 0 9 + 0 = -40 + 9z + -9z 9 = -40 + 9z + -9z Combine like terms: 9z + -9z = 0 9 = -40 + 0 9 = -40 Solving 9 = -40 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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