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Simplifying 3.42 = 1.14(z + -6) Reorder the terms: 3.42 = 1.14(-6 + z) 3.42 = (-6 * 1.14 + z * 1.14) 3.42 = (-6.84 + 1.14z) Solving 3.42 = -6.84 + 1.14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.14z' to each side of the equation. 3.42 + -1.14z = -6.84 + 1.14z + -1.14z Combine like terms: 1.14z + -1.14z = 0.00 3.42 + -1.14z = -6.84 + 0.00 3.42 + -1.14z = -6.84 Add '-3.42' to each side of the equation. 3.42 + -3.42 + -1.14z = -6.84 + -3.42 Combine like terms: 3.42 + -3.42 = 0.00 0.00 + -1.14z = -6.84 + -3.42 -1.14z = -6.84 + -3.42 Combine like terms: -6.84 + -3.42 = -10.26 -1.14z = -10.26 Divide each side by '-1.14'. z = 9 Simplifying z = 9
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