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Simplifying 0.11(z + 0.8) = 0.17(z + -1) Reorder the terms: 0.11(0.8 + z) = 0.17(z + -1) (0.8 * 0.11 + z * 0.11) = 0.17(z + -1) (0.088 + 0.11z) = 0.17(z + -1) Reorder the terms: 0.088 + 0.11z = 0.17(-1 + z) 0.088 + 0.11z = (-1 * 0.17 + z * 0.17) 0.088 + 0.11z = (-0.17 + 0.17z) Solving 0.088 + 0.11z = -0.17 + 0.17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.17z' to each side of the equation. 0.088 + 0.11z + -0.17z = -0.17 + 0.17z + -0.17z Combine like terms: 0.11z + -0.17z = -0.06z 0.088 + -0.06z = -0.17 + 0.17z + -0.17z Combine like terms: 0.17z + -0.17z = 0.00 0.088 + -0.06z = -0.17 + 0.00 0.088 + -0.06z = -0.17 Add '-0.088' to each side of the equation. 0.088 + -0.088 + -0.06z = -0.17 + -0.088 Combine like terms: 0.088 + -0.088 = 0.000 0.000 + -0.06z = -0.17 + -0.088 -0.06z = -0.17 + -0.088 Combine like terms: -0.17 + -0.088 = -0.258 -0.06z = -0.258 Divide each side by '-0.06'. z = 4.3 Simplifying z = 4.3
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