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Simplifying 9z + -1(6 + -1z) = 12z + -10 9z + (6 * -1 + -1z * -1) = 12z + -10 9z + (-6 + 1z) = 12z + -10 Reorder the terms: -6 + 9z + 1z = 12z + -10 Combine like terms: 9z + 1z = 10z -6 + 10z = 12z + -10 Reorder the terms: -6 + 10z = -10 + 12z Solving -6 + 10z = -10 + 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. -6 + 10z + -12z = -10 + 12z + -12z Combine like terms: 10z + -12z = -2z -6 + -2z = -10 + 12z + -12z Combine like terms: 12z + -12z = 0 -6 + -2z = -10 + 0 -6 + -2z = -10 Add '6' to each side of the equation. -6 + 6 + -2z = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -2z = -10 + 6 -2z = -10 + 6 Combine like terms: -10 + 6 = -4 -2z = -4 Divide each side by '-2'. z = 2 Simplifying z = 2
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