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Simplifying 0.6(z + 0.6) = -0.2(z + -3) Reorder the terms: 0.6(0.6 + z) = -0.2(z + -3) (0.6 * 0.6 + z * 0.6) = -0.2(z + -3) (0.36 + 0.6z) = -0.2(z + -3) Reorder the terms: 0.36 + 0.6z = -0.2(-3 + z) 0.36 + 0.6z = (-3 * -0.2 + z * -0.2) 0.36 + 0.6z = (0.6 + -0.2z) Solving 0.36 + 0.6z = 0.6 + -0.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.2z' to each side of the equation. 0.36 + 0.6z + 0.2z = 0.6 + -0.2z + 0.2z Combine like terms: 0.6z + 0.2z = 0.8z 0.36 + 0.8z = 0.6 + -0.2z + 0.2z Combine like terms: -0.2z + 0.2z = 0.0 0.36 + 0.8z = 0.6 + 0.0 0.36 + 0.8z = 0.6 Add '-0.36' to each side of the equation. 0.36 + -0.36 + 0.8z = 0.6 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + 0.8z = 0.6 + -0.36 0.8z = 0.6 + -0.36 Combine like terms: 0.6 + -0.36 = 0.24 0.8z = 0.24 Divide each side by '0.8'. z = 0.3 Simplifying z = 0.3
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