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Simplifying 3z + -8 + 6z + -12 = z + -10 + 9z + -13 Reorder the terms: -8 + -12 + 3z + 6z = z + -10 + 9z + -13 Combine like terms: -8 + -12 = -20 -20 + 3z + 6z = z + -10 + 9z + -13 Combine like terms: 3z + 6z = 9z -20 + 9z = z + -10 + 9z + -13 Reorder the terms: -20 + 9z = -10 + -13 + z + 9z Combine like terms: -10 + -13 = -23 -20 + 9z = -23 + z + 9z Combine like terms: z + 9z = 10z -20 + 9z = -23 + 10z Solving -20 + 9z = -23 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -20 + 9z + -10z = -23 + 10z + -10z Combine like terms: 9z + -10z = -1z -20 + -1z = -23 + 10z + -10z Combine like terms: 10z + -10z = 0 -20 + -1z = -23 + 0 -20 + -1z = -23 Add '20' to each side of the equation. -20 + 20 + -1z = -23 + 20 Combine like terms: -20 + 20 = 0 0 + -1z = -23 + 20 -1z = -23 + 20 Combine like terms: -23 + 20 = -3 -1z = -3 Divide each side by '-1'. z = 3 Simplifying z = 3
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