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Simplifying 7(1.3z + 1.9) = 9.2z Reorder the terms: 7(1.9 + 1.3z) = 9.2z (1.9 * 7 + 1.3z * 7) = 9.2z (13.3 + 9.1z) = 9.2z Solving 13.3 + 9.1z = 9.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9.2z' to each side of the equation. 13.3 + 9.1z + -9.2z = 9.2z + -9.2z Combine like terms: 9.1z + -9.2z = -0.1z 13.3 + -0.1z = 9.2z + -9.2z Combine like terms: 9.2z + -9.2z = 0.0 13.3 + -0.1z = 0.0 Add '-13.3' to each side of the equation. 13.3 + -13.3 + -0.1z = 0.0 + -13.3 Combine like terms: 13.3 + -13.3 = 0.0 0.0 + -0.1z = 0.0 + -13.3 -0.1z = 0.0 + -13.3 Combine like terms: 0.0 + -13.3 = -13.3 -0.1z = -13.3 Divide each side by '-0.1'. z = 133 Simplifying z = 133
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