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Simplifying 12z + -9 + -10z + 3 + -8z = z + -9 + 3z + 10 + -10 Reorder the terms: -9 + 3 + 12z + -10z + -8z = z + -9 + 3z + 10 + -10 Combine like terms: -9 + 3 = -6 -6 + 12z + -10z + -8z = z + -9 + 3z + 10 + -10 Combine like terms: 12z + -10z = 2z -6 + 2z + -8z = z + -9 + 3z + 10 + -10 Combine like terms: 2z + -8z = -6z -6 + -6z = z + -9 + 3z + 10 + -10 Reorder the terms: -6 + -6z = -9 + 10 + -10 + z + 3z Combine like terms: -9 + 10 = 1 -6 + -6z = 1 + -10 + z + 3z Combine like terms: 1 + -10 = -9 -6 + -6z = -9 + z + 3z Combine like terms: z + 3z = 4z -6 + -6z = -9 + 4z Solving -6 + -6z = -9 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -6 + -6z + -4z = -9 + 4z + -4z Combine like terms: -6z + -4z = -10z -6 + -10z = -9 + 4z + -4z Combine like terms: 4z + -4z = 0 -6 + -10z = -9 + 0 -6 + -10z = -9 Add '6' to each side of the equation. -6 + 6 + -10z = -9 + 6 Combine like terms: -6 + 6 = 0 0 + -10z = -9 + 6 -10z = -9 + 6 Combine like terms: -9 + 6 = -3 -10z = -3 Divide each side by '-10'. z = 0.3 Simplifying z = 0.3
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