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Simplifying 5(z + 1) = 4(z + -8) + z Reorder the terms: 5(1 + z) = 4(z + -8) + z (1 * 5 + z * 5) = 4(z + -8) + z (5 + 5z) = 4(z + -8) + z Reorder the terms: 5 + 5z = 4(-8 + z) + z 5 + 5z = (-8 * 4 + z * 4) + z 5 + 5z = (-32 + 4z) + z Combine like terms: 4z + z = 5z 5 + 5z = -32 + 5z Add '-5z' to each side of the equation. 5 + 5z + -5z = -32 + 5z + -5z Combine like terms: 5z + -5z = 0 5 + 0 = -32 + 5z + -5z 5 = -32 + 5z + -5z Combine like terms: 5z + -5z = 0 5 = -32 + 0 5 = -32 Solving 5 = -32 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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