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Simplifying 10z + 10 = 12z + 6 Reorder the terms: 10 + 10z = 12z + 6 Reorder the terms: 10 + 10z = 6 + 12z Solving 10 + 10z = 6 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 10 + 10z + -12z = 6 + 12z + -12z Combine like terms: 10z + -12z = -2z 10 + -2z = 6 + 12z + -12z Combine like terms: 12z + -12z = 0 10 + -2z = 6 + 0 10 + -2z = 6 Add '-10' to each side of the equation. 10 + -10 + -2z = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -2z = 6 + -10 -2z = 6 + -10 Combine like terms: 6 + -10 = -4 -2z = -4 Divide each side by '-2'. z = 2 Simplifying z = 2
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