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Simplifying 7(z + 3) = 5(5 + 4z) + -13z Reorder the terms: 7(3 + z) = 5(5 + 4z) + -13z (3 * 7 + z * 7) = 5(5 + 4z) + -13z (21 + 7z) = 5(5 + 4z) + -13z 21 + 7z = (5 * 5 + 4z * 5) + -13z 21 + 7z = (25 + 20z) + -13z Combine like terms: 20z + -13z = 7z 21 + 7z = 25 + 7z Add '-7z' to each side of the equation. 21 + 7z + -7z = 25 + 7z + -7z Combine like terms: 7z + -7z = 0 21 + 0 = 25 + 7z + -7z 21 = 25 + 7z + -7z Combine like terms: 7z + -7z = 0 21 = 25 + 0 21 = 25 Solving 21 = 25 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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