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Simplifying 0.3(2z + 6) + 12.6 = 6(2z + -6) Reorder the terms: 0.3(6 + 2z) + 12.6 = 6(2z + -6) (6 * 0.3 + 2z * 0.3) + 12.6 = 6(2z + -6) (1.8 + 0.6z) + 12.6 = 6(2z + -6) Reorder the terms: 1.8 + 12.6 + 0.6z = 6(2z + -6) Combine like terms: 1.8 + 12.6 = 14.4 14.4 + 0.6z = 6(2z + -6) Reorder the terms: 14.4 + 0.6z = 6(-6 + 2z) 14.4 + 0.6z = (-6 * 6 + 2z * 6) 14.4 + 0.6z = (-36 + 12z) Solving 14.4 + 0.6z = -36 + 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. 14.4 + 0.6z + -12z = -36 + 12z + -12z Combine like terms: 0.6z + -12z = -11.4z 14.4 + -11.4z = -36 + 12z + -12z Combine like terms: 12z + -12z = 0 14.4 + -11.4z = -36 + 0 14.4 + -11.4z = -36 Add '-14.4' to each side of the equation. 14.4 + -14.4 + -11.4z = -36 + -14.4 Combine like terms: 14.4 + -14.4 = 0.0 0.0 + -11.4z = -36 + -14.4 -11.4z = -36 + -14.4 Combine like terms: -36 + -14.4 = -50.4 -11.4z = -50.4 Divide each side by '-11.4'. z = 4.421052632 Simplifying z = 4.421052632
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