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Simplifying 0.3(3z + 6) + 12.6 = 0.6(3z + -6) Reorder the terms: 0.3(6 + 3z) + 12.6 = 0.6(3z + -6) (6 * 0.3 + 3z * 0.3) + 12.6 = 0.6(3z + -6) (1.8 + 0.9z) + 12.6 = 0.6(3z + -6) Reorder the terms: 1.8 + 12.6 + 0.9z = 0.6(3z + -6) Combine like terms: 1.8 + 12.6 = 14.4 14.4 + 0.9z = 0.6(3z + -6) Reorder the terms: 14.4 + 0.9z = 0.6(-6 + 3z) 14.4 + 0.9z = (-6 * 0.6 + 3z * 0.6) 14.4 + 0.9z = (-3.6 + 1.8z) Solving 14.4 + 0.9z = -3.6 + 1.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.8z' to each side of the equation. 14.4 + 0.9z + -1.8z = -3.6 + 1.8z + -1.8z Combine like terms: 0.9z + -1.8z = -0.9z 14.4 + -0.9z = -3.6 + 1.8z + -1.8z Combine like terms: 1.8z + -1.8z = 0.0 14.4 + -0.9z = -3.6 + 0.0 14.4 + -0.9z = -3.6 Add '-14.4' to each side of the equation. 14.4 + -14.4 + -0.9z = -3.6 + -14.4 Combine like terms: 14.4 + -14.4 = 0.0 0.0 + -0.9z = -3.6 + -14.4 -0.9z = -3.6 + -14.4 Combine like terms: -3.6 + -14.4 = -18 -0.9z = -18 Divide each side by '-0.9'. z = 20 Simplifying z = 20
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