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Simplifying 3z + 2 + 5(z + -1) = 8z + 17 Reorder the terms: 3z + 2 + 5(-1 + z) = 8z + 17 3z + 2 + (-1 * 5 + z * 5) = 8z + 17 3z + 2 + (-5 + 5z) = 8z + 17 Reorder the terms: 2 + -5 + 3z + 5z = 8z + 17 Combine like terms: 2 + -5 = -3 -3 + 3z + 5z = 8z + 17 Combine like terms: 3z + 5z = 8z -3 + 8z = 8z + 17 Reorder the terms: -3 + 8z = 17 + 8z Add '-8z' to each side of the equation. -3 + 8z + -8z = 17 + 8z + -8z Combine like terms: 8z + -8z = 0 -3 + 0 = 17 + 8z + -8z -3 = 17 + 8z + -8z Combine like terms: 8z + -8z = 0 -3 = 17 + 0 -3 = 17 Solving -3 = 17 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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