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Simplifying 9(z + 7) = 8(z + -4) + z Reorder the terms: 9(7 + z) = 8(z + -4) + z (7 * 9 + z * 9) = 8(z + -4) + z (63 + 9z) = 8(z + -4) + z Reorder the terms: 63 + 9z = 8(-4 + z) + z 63 + 9z = (-4 * 8 + z * 8) + z 63 + 9z = (-32 + 8z) + z Combine like terms: 8z + z = 9z 63 + 9z = -32 + 9z Add '-9z' to each side of the equation. 63 + 9z + -9z = -32 + 9z + -9z Combine like terms: 9z + -9z = 0 63 + 0 = -32 + 9z + -9z 63 = -32 + 9z + -9z Combine like terms: 9z + -9z = 0 63 = -32 + 0 63 = -32 Solving 63 = -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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