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