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Simplifying 10 + 2z = 58 + -6z Solving 10 + 2z = 58 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 10 + 2z + 6z = 58 + -6z + 6z Combine like terms: 2z + 6z = 8z 10 + 8z = 58 + -6z + 6z Combine like terms: -6z + 6z = 0 10 + 8z = 58 + 0 10 + 8z = 58 Add '-10' to each side of the equation. 10 + -10 + 8z = 58 + -10 Combine like terms: 10 + -10 = 0 0 + 8z = 58 + -10 8z = 58 + -10 Combine like terms: 58 + -10 = 48 8z = 48 Divide each side by '8'. z = 6 Simplifying z = 6
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