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Simplifying 10z + -9 = 6 + 12(z + 12) Reorder the terms: -9 + 10z = 6 + 12(z + 12) Reorder the terms: -9 + 10z = 6 + 12(12 + z) -9 + 10z = 6 + (12 * 12 + z * 12) -9 + 10z = 6 + (144 + 12z) Combine like terms: 6 + 144 = 150 -9 + 10z = 150 + 12z Solving -9 + 10z = 150 + 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. -9 + 10z + -12z = 150 + 12z + -12z Combine like terms: 10z + -12z = -2z -9 + -2z = 150 + 12z + -12z Combine like terms: 12z + -12z = 0 -9 + -2z = 150 + 0 -9 + -2z = 150 Add '9' to each side of the equation. -9 + 9 + -2z = 150 + 9 Combine like terms: -9 + 9 = 0 0 + -2z = 150 + 9 -2z = 150 + 9 Combine like terms: 150 + 9 = 159 -2z = 159 Divide each side by '-2'. z = -79.5 Simplifying z = -79.5
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