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Simplifying 0.4(4z + 5) + 18.5 = 0.7(4z + -5) Reorder the terms: 0.4(5 + 4z) + 18.5 = 0.7(4z + -5) (5 * 0.4 + 4z * 0.4) + 18.5 = 0.7(4z + -5) (2 + 1.6z) + 18.5 = 0.7(4z + -5) Reorder the terms: 2 + 18.5 + 1.6z = 0.7(4z + -5) Combine like terms: 2 + 18.5 = 20.5 20.5 + 1.6z = 0.7(4z + -5) Reorder the terms: 20.5 + 1.6z = 0.7(-5 + 4z) 20.5 + 1.6z = (-5 * 0.7 + 4z * 0.7) 20.5 + 1.6z = (-3.5 + 2.8z) Solving 20.5 + 1.6z = -3.5 + 2.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.8z' to each side of the equation. 20.5 + 1.6z + -2.8z = -3.5 + 2.8z + -2.8z Combine like terms: 1.6z + -2.8z = -1.2z 20.5 + -1.2z = -3.5 + 2.8z + -2.8z Combine like terms: 2.8z + -2.8z = 0.0 20.5 + -1.2z = -3.5 + 0.0 20.5 + -1.2z = -3.5 Add '-20.5' to each side of the equation. 20.5 + -20.5 + -1.2z = -3.5 + -20.5 Combine like terms: 20.5 + -20.5 = 0.0 0.0 + -1.2z = -3.5 + -20.5 -1.2z = -3.5 + -20.5 Combine like terms: -3.5 + -20.5 = -24 -1.2z = -24 Divide each side by '-1.2'. z = 20 Simplifying z = 20
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