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Simplifying 7(z + 1) = 6(z + -4) + z Reorder the terms: 7(1 + z) = 6(z + -4) + z (1 * 7 + z * 7) = 6(z + -4) + z (7 + 7z) = 6(z + -4) + z Reorder the terms: 7 + 7z = 6(-4 + z) + z 7 + 7z = (-4 * 6 + z * 6) + z 7 + 7z = (-24 + 6z) + z Combine like terms: 6z + z = 7z 7 + 7z = -24 + 7z Add '-7z' to each side of the equation. 7 + 7z + -7z = -24 + 7z + -7z Combine like terms: 7z + -7z = 0 7 + 0 = -24 + 7z + -7z 7 = -24 + 7z + -7z Combine like terms: 7z + -7z = 0 7 = -24 + 0 7 = -24 Solving 7 = -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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