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Simplifying 11z + 4 + 2 = 20(4) + z + 6 Reorder the terms: 4 + 2 + 11z = 20(4) + z + 6 Combine like terms: 4 + 2 = 6 6 + 11z = 20(4) + z + 6 Multiply 20 * 4 6 + 11z = 80 + z + 6 Reorder the terms: 6 + 11z = 80 + 6 + z Combine like terms: 80 + 6 = 86 6 + 11z = 86 + z Solving 6 + 11z = 86 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 6 + 11z + -1z = 86 + z + -1z Combine like terms: 11z + -1z = 10z 6 + 10z = 86 + z + -1z Combine like terms: z + -1z = 0 6 + 10z = 86 + 0 6 + 10z = 86 Add '-6' to each side of the equation. 6 + -6 + 10z = 86 + -6 Combine like terms: 6 + -6 = 0 0 + 10z = 86 + -6 10z = 86 + -6 Combine like terms: 86 + -6 = 80 10z = 80 Divide each side by '10'. z = 8 Simplifying z = 8
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