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Simplifying 1.3z + -0.06(z + 12) = 0.7(z + 2) Reorder the terms: 1.3z + -0.06(12 + z) = 0.7(z + 2) 1.3z + (12 * -0.06 + z * -0.06) = 0.7(z + 2) 1.3z + (-0.72 + -0.06z) = 0.7(z + 2) Reorder the terms: -0.72 + 1.3z + -0.06z = 0.7(z + 2) Combine like terms: 1.3z + -0.06z = 1.24z -0.72 + 1.24z = 0.7(z + 2) Reorder the terms: -0.72 + 1.24z = 0.7(2 + z) -0.72 + 1.24z = (2 * 0.7 + z * 0.7) -0.72 + 1.24z = (1.4 + 0.7z) Solving -0.72 + 1.24z = 1.4 + 0.7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.7z' to each side of the equation. -0.72 + 1.24z + -0.7z = 1.4 + 0.7z + -0.7z Combine like terms: 1.24z + -0.7z = 0.54z -0.72 + 0.54z = 1.4 + 0.7z + -0.7z Combine like terms: 0.7z + -0.7z = 0.0 -0.72 + 0.54z = 1.4 + 0.0 -0.72 + 0.54z = 1.4 Add '0.72' to each side of the equation. -0.72 + 0.72 + 0.54z = 1.4 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + 0.54z = 1.4 + 0.72 0.54z = 1.4 + 0.72 Combine like terms: 1.4 + 0.72 = 2.12 0.54z = 2.12 Divide each side by '0.54'. z = 3.925925926 Simplifying z = 3.925925926
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