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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) Reorder the terms: 1.2 = 0.9 + 27.6z + -27z Combine like terms: 27.6z + -27z = 0.6z 1.2 = 0.9 + 0.6z Solving 1.2 = 0.9 + 0.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.6z' to each side of the equation. 1.2 + -0.6z = 0.9 + 0.6z + -0.6z Combine like terms: 0.6z + -0.6z = 0.0 1.2 + -0.6z = 0.9 + 0.0 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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