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Simplifying 12z + -9 + -10z + 3 + -8 = z + -9 + 3z + 10 + -10z Reorder the terms: -9 + 3 + -8 + 12z + -10z = z + -9 + 3z + 10 + -10z Combine like terms: -9 + 3 = -6 -6 + -8 + 12z + -10z = z + -9 + 3z + 10 + -10z Combine like terms: -6 + -8 = -14 -14 + 12z + -10z = z + -9 + 3z + 10 + -10z Combine like terms: 12z + -10z = 2z -14 + 2z = z + -9 + 3z + 10 + -10z Reorder the terms: -14 + 2z = -9 + 10 + z + 3z + -10z Combine like terms: -9 + 10 = 1 -14 + 2z = 1 + z + 3z + -10z Combine like terms: z + 3z = 4z -14 + 2z = 1 + 4z + -10z Combine like terms: 4z + -10z = -6z -14 + 2z = 1 + -6z Solving -14 + 2z = 1 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -14 + 2z + 6z = 1 + -6z + 6z Combine like terms: 2z + 6z = 8z -14 + 8z = 1 + -6z + 6z Combine like terms: -6z + 6z = 0 -14 + 8z = 1 + 0 -14 + 8z = 1 Add '14' to each side of the equation. -14 + 14 + 8z = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 8z = 1 + 14 8z = 1 + 14 Combine like terms: 1 + 14 = 15 8z = 15 Divide each side by '8'. z = 1.875 Simplifying z = 1.875
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