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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 = -8z -6 + -8z = 12z + -10 Reorder the terms: -6 + -8z = -10 + 12z Solving -6 + -8z = -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 + -8z + -12z = -10 + 12z + -12z Combine like terms: -8z + -12z = -20z -6 + -20z = -10 + 12z + -12z Combine like terms: 12z + -12z = 0 -6 + -20z = -10 + 0 -6 + -20z = -10 Add '6' to each side of the equation. -6 + 6 + -20z = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -20z = -10 + 6 -20z = -10 + 6 Combine like terms: -10 + 6 = -4 -20z = -4 Divide each side by '-20'. z = 0.2 Simplifying z = 0.2
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