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Simplifying 12 = 11z + -1(-9z + -4) Reorder the terms: 12 = 11z + -1(-4 + -9z) 12 = 11z + (-4 * -1 + -9z * -1) 12 = 11z + (4 + 9z) Reorder the terms: 12 = 4 + 11z + 9z Combine like terms: 11z + 9z = 20z 12 = 4 + 20z Solving 12 = 4 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. 12 + -20z = 4 + 20z + -20z Combine like terms: 20z + -20z = 0 12 + -20z = 4 + 0 12 + -20z = 4 Add '-12' to each side of the equation. 12 + -12 + -20z = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -20z = 4 + -12 -20z = 4 + -12 Combine like terms: 4 + -12 = -8 -20z = -8 Divide each side by '-20'. z = 0.4 Simplifying z = 0.4
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