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Simplifying 4z + 46 = 10z + -21 Reorder the terms: 46 + 4z = 10z + -21 Reorder the terms: 46 + 4z = -21 + 10z Solving 46 + 4z = -21 + 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. 46 + 4z + -10z = -21 + 10z + -10z Combine like terms: 4z + -10z = -6z 46 + -6z = -21 + 10z + -10z Combine like terms: 10z + -10z = 0 46 + -6z = -21 + 0 46 + -6z = -21 Add '-46' to each side of the equation. 46 + -46 + -6z = -21 + -46 Combine like terms: 46 + -46 = 0 0 + -6z = -21 + -46 -6z = -21 + -46 Combine like terms: -21 + -46 = -67 -6z = -67 Divide each side by '-6'. z = 11.16666667 Simplifying z = 11.16666667
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