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Simplifying 1.2 + -27.6z = -3(9z + -0.3) Reorder the terms: 1.2 + -27.6z = -3(-0.3 + 9z) 1.2 + -27.6z = (-0.3 * -3 + 9z * -3) 1.2 + -27.6z = (0.9 + -27z) Solving 1.2 + -27.6z = 0.9 + -27z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27z' to each side of the equation. 1.2 + -27.6z + 27z = 0.9 + -27z + 27z Combine like terms: -27.6z + 27z = -0.6z 1.2 + -0.6z = 0.9 + -27z + 27z Combine like terms: -27z + 27z = 0 1.2 + -0.6z = 0.9 + 0 1.2 + -0.6z = 0.9 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.6z = 0.9 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.6z = 0.9 + -1.2 -0.6z = 0.9 + -1.2 Combine like terms: 0.9 + -1.2 = -0.3 -0.6z = -0.3 Divide each side by '-0.6'. z = 0.5 Simplifying z = 0.5
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