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Simplifying 4z + 3 + -1z = 10 + 2z + -6 Reorder the terms: 3 + 4z + -1z = 10 + 2z + -6 Combine like terms: 4z + -1z = 3z 3 + 3z = 10 + 2z + -6 Reorder the terms: 3 + 3z = 10 + -6 + 2z Combine like terms: 10 + -6 = 4 3 + 3z = 4 + 2z Solving 3 + 3z = 4 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 3 + 3z + -2z = 4 + 2z + -2z Combine like terms: 3z + -2z = 1z 3 + 1z = 4 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 1z = 4 + 0 3 + 1z = 4 Add '-3' to each side of the equation. 3 + -3 + 1z = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 4 + -3 1z = 4 + -3 Combine like terms: 4 + -3 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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