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Simplifying 0.5(2z + -5) = 0.33(z + 5) Reorder the terms: 0.5(-5 + 2z) = 0.33(z + 5) (-5 * 0.5 + 2z * 0.5) = 0.33(z + 5) (-2.5 + 1z) = 0.33(z + 5) Reorder the terms: -2.5 + 1z = 0.33(5 + z) -2.5 + 1z = (5 * 0.33 + z * 0.33) -2.5 + 1z = (1.65 + 0.33z) Solving -2.5 + 1z = 1.65 + 0.33z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.33z' to each side of the equation. -2.5 + 1z + -0.33z = 1.65 + 0.33z + -0.33z Combine like terms: 1z + -0.33z = 0.67z -2.5 + 0.67z = 1.65 + 0.33z + -0.33z Combine like terms: 0.33z + -0.33z = 0.00 -2.5 + 0.67z = 1.65 + 0.00 -2.5 + 0.67z = 1.65 Add '2.5' to each side of the equation. -2.5 + 2.5 + 0.67z = 1.65 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.67z = 1.65 + 2.5 0.67z = 1.65 + 2.5 Combine like terms: 1.65 + 2.5 = 4.15 0.67z = 4.15 Divide each side by '0.67'. z = 6.194029851 Simplifying z = 6.194029851
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