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Simplifying 10z + 18 = 12z + 8 Reorder the terms: 18 + 10z = 12z + 8 Reorder the terms: 18 + 10z = 8 + 12z Solving 18 + 10z = 8 + 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. 18 + 10z + -12z = 8 + 12z + -12z Combine like terms: 10z + -12z = -2z 18 + -2z = 8 + 12z + -12z Combine like terms: 12z + -12z = 0 18 + -2z = 8 + 0 18 + -2z = 8 Add '-18' to each side of the equation. 18 + -18 + -2z = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -2z = 8 + -18 -2z = 8 + -18 Combine like terms: 8 + -18 = -10 -2z = -10 Divide each side by '-2'. z = 5 Simplifying z = 5
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