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Simplifying 7(z + 3) = 6(z + -4) + z Reorder the terms: 7(3 + z) = 6(z + -4) + z (3 * 7 + z * 7) = 6(z + -4) + z (21 + 7z) = 6(z + -4) + z Reorder the terms: 21 + 7z = 6(-4 + z) + z 21 + 7z = (-4 * 6 + z * 6) + z 21 + 7z = (-24 + 6z) + z Combine like terms: 6z + z = 7z 21 + 7z = -24 + 7z Add '-7z' to each side of the equation. 21 + 7z + -7z = -24 + 7z + -7z Combine like terms: 7z + -7z = 0 21 + 0 = -24 + 7z + -7z 21 = -24 + 7z + -7z Combine like terms: 7z + -7z = 0 21 = -24 + 0 21 = -24 Solving 21 = -24 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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