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Simplifying 7(z + 7) = 6(z + -5) + z Reorder the terms: 7(7 + z) = 6(z + -5) + z (7 * 7 + z * 7) = 6(z + -5) + z (49 + 7z) = 6(z + -5) + z Reorder the terms: 49 + 7z = 6(-5 + z) + z 49 + 7z = (-5 * 6 + z * 6) + z 49 + 7z = (-30 + 6z) + z Combine like terms: 6z + z = 7z 49 + 7z = -30 + 7z Add '-7z' to each side of the equation. 49 + 7z + -7z = -30 + 7z + -7z Combine like terms: 7z + -7z = 0 49 + 0 = -30 + 7z + -7z 49 = -30 + 7z + -7z Combine like terms: 7z + -7z = 0 49 = -30 + 0 49 = -30 Solving 49 = -30 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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