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Simplifying 0.5(4z + 5) + 1.9 = 0.6(4z + -6) Reorder the terms: 0.5(5 + 4z) + 1.9 = 0.6(4z + -6) (5 * 0.5 + 4z * 0.5) + 1.9 = 0.6(4z + -6) (2.5 + 2z) + 1.9 = 0.6(4z + -6) Reorder the terms: 2.5 + 1.9 + 2z = 0.6(4z + -6) Combine like terms: 2.5 + 1.9 = 4.4 4.4 + 2z = 0.6(4z + -6) Reorder the terms: 4.4 + 2z = 0.6(-6 + 4z) 4.4 + 2z = (-6 * 0.6 + 4z * 0.6) 4.4 + 2z = (-3.6 + 2.4z) Solving 4.4 + 2z = -3.6 + 2.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.4z' to each side of the equation. 4.4 + 2z + -2.4z = -3.6 + 2.4z + -2.4z Combine like terms: 2z + -2.4z = -0.4z 4.4 + -0.4z = -3.6 + 2.4z + -2.4z Combine like terms: 2.4z + -2.4z = 0.0 4.4 + -0.4z = -3.6 + 0.0 4.4 + -0.4z = -3.6 Add '-4.4' to each side of the equation. 4.4 + -4.4 + -0.4z = -3.6 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + -0.4z = -3.6 + -4.4 -0.4z = -3.6 + -4.4 Combine like terms: -3.6 + -4.4 = -8 -0.4z = -8 Divide each side by '-0.4'. z = 20 Simplifying z = 20
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