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Simplifying 7(z + 8) = 6(z + -3) + z Reorder the terms: 7(8 + z) = 6(z + -3) + z (8 * 7 + z * 7) = 6(z + -3) + z (56 + 7z) = 6(z + -3) + z Reorder the terms: 56 + 7z = 6(-3 + z) + z 56 + 7z = (-3 * 6 + z * 6) + z 56 + 7z = (-18 + 6z) + z Combine like terms: 6z + z = 7z 56 + 7z = -18 + 7z Add '-7z' to each side of the equation. 56 + 7z + -7z = -18 + 7z + -7z Combine like terms: 7z + -7z = 0 56 + 0 = -18 + 7z + -7z 56 = -18 + 7z + -7z Combine like terms: 7z + -7z = 0 56 = -18 + 0 56 = -18 Solving 56 = -18 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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