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Simplifying 0.3(z + 1.1) = -0.3(z + 1.4) Reorder the terms: 0.3(1.1 + z) = -0.3(z + 1.4) (1.1 * 0.3 + z * 0.3) = -0.3(z + 1.4) (0.33 + 0.3z) = -0.3(z + 1.4) Reorder the terms: 0.33 + 0.3z = -0.3(1.4 + z) 0.33 + 0.3z = (1.4 * -0.3 + z * -0.3) 0.33 + 0.3z = (-0.42 + -0.3z) Solving 0.33 + 0.3z = -0.42 + -0.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.3z' to each side of the equation. 0.33 + 0.3z + 0.3z = -0.42 + -0.3z + 0.3z Combine like terms: 0.3z + 0.3z = 0.6z 0.33 + 0.6z = -0.42 + -0.3z + 0.3z Combine like terms: -0.3z + 0.3z = 0.0 0.33 + 0.6z = -0.42 + 0.0 0.33 + 0.6z = -0.42 Add '-0.33' to each side of the equation. 0.33 + -0.33 + 0.6z = -0.42 + -0.33 Combine like terms: 0.33 + -0.33 = 0.00 0.00 + 0.6z = -0.42 + -0.33 0.6z = -0.42 + -0.33 Combine like terms: -0.42 + -0.33 = -0.75 0.6z = -0.75 Divide each side by '0.6'. z = -1.25 Simplifying z = -1.25
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