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Simplifying 3(2 + -1z) = 0.4(2z + -20) (2 * 3 + -1z * 3) = 0.4(2z + -20) (6 + -3z) = 0.4(2z + -20) Reorder the terms: 6 + -3z = 0.4(-20 + 2z) 6 + -3z = (-20 * 0.4 + 2z * 0.4) 6 + -3z = (-8 + 0.8z) Solving 6 + -3z = -8 + 0.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.8z' to each side of the equation. 6 + -3z + -0.8z = -8 + 0.8z + -0.8z Combine like terms: -3z + -0.8z = -3.8z 6 + -3.8z = -8 + 0.8z + -0.8z Combine like terms: 0.8z + -0.8z = 0.0 6 + -3.8z = -8 + 0.0 6 + -3.8z = -8 Add '-6' to each side of the equation. 6 + -6 + -3.8z = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -3.8z = -8 + -6 -3.8z = -8 + -6 Combine like terms: -8 + -6 = -14 -3.8z = -14 Divide each side by '-3.8'. z = 3.684210526 Simplifying z = 3.684210526
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