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Simplifying 5(z + 8) = 4(z + -3) + z Reorder the terms: 5(8 + z) = 4(z + -3) + z (8 * 5 + z * 5) = 4(z + -3) + z (40 + 5z) = 4(z + -3) + z Reorder the terms: 40 + 5z = 4(-3 + z) + z 40 + 5z = (-3 * 4 + z * 4) + z 40 + 5z = (-12 + 4z) + z Combine like terms: 4z + z = 5z 40 + 5z = -12 + 5z Add '-5z' to each side of the equation. 40 + 5z + -5z = -12 + 5z + -5z Combine like terms: 5z + -5z = 0 40 + 0 = -12 + 5z + -5z 40 = -12 + 5z + -5z Combine like terms: 5z + -5z = 0 40 = -12 + 0 40 = -12 Solving 40 = -12 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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