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Simplifying 8(z + 6) = 7(z + -7) + z Reorder the terms: 8(6 + z) = 7(z + -7) + z (6 * 8 + z * 8) = 7(z + -7) + z (48 + 8z) = 7(z + -7) + z Reorder the terms: 48 + 8z = 7(-7 + z) + z 48 + 8z = (-7 * 7 + z * 7) + z 48 + 8z = (-49 + 7z) + z Combine like terms: 7z + z = 8z 48 + 8z = -49 + 8z Add '-8z' to each side of the equation. 48 + 8z + -8z = -49 + 8z + -8z Combine like terms: 8z + -8z = 0 48 + 0 = -49 + 8z + -8z 48 = -49 + 8z + -8z Combine like terms: 8z + -8z = 0 48 = -49 + 0 48 = -49 Solving 48 = -49 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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