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Simplifying 12z + -9 + -10z + 3 + -8z = z + -9 + 3z + 10 + -10z Reorder the terms: -9 + 3 + 12z + -10z + -8z = z + -9 + 3z + 10 + -10z Combine like terms: -9 + 3 = -6 -6 + 12z + -10z + -8z = z + -9 + 3z + 10 + -10z Combine like terms: 12z + -10z = 2z -6 + 2z + -8z = z + -9 + 3z + 10 + -10z Combine like terms: 2z + -8z = -6z -6 + -6z = z + -9 + 3z + 10 + -10z Reorder the terms: -6 + -6z = -9 + 10 + z + 3z + -10z Combine like terms: -9 + 10 = 1 -6 + -6z = 1 + z + 3z + -10z Combine like terms: z + 3z = 4z -6 + -6z = 1 + 4z + -10z Combine like terms: 4z + -10z = -6z -6 + -6z = 1 + -6z Add '6z' to each side of the equation. -6 + -6z + 6z = 1 + -6z + 6z Combine like terms: -6z + 6z = 0 -6 + 0 = 1 + -6z + 6z -6 = 1 + -6z + 6z Combine like terms: -6z + 6z = 0 -6 = 1 + 0 -6 = 1 Solving -6 = 1 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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