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Simplifying 4z + 2 = 10z + -1 Reorder the terms: 2 + 4z = 10z + -1 Reorder the terms: 2 + 4z = -1 + 10z Solving 2 + 4z = -1 + 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. 2 + 4z + -10z = -1 + 10z + -10z Combine like terms: 4z + -10z = -6z 2 + -6z = -1 + 10z + -10z Combine like terms: 10z + -10z = 0 2 + -6z = -1 + 0 2 + -6z = -1 Add '-2' to each side of the equation. 2 + -2 + -6z = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -6z = -1 + -2 -6z = -1 + -2 Combine like terms: -1 + -2 = -3 -6z = -3 Divide each side by '-6'. z = 0.5 Simplifying z = 0.5
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