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Simplifying z + -0.5z + -5.9 = -6.5(z + -3.4) Reorder the terms: -5.9 + z + -0.5z = -6.5(z + -3.4) Combine like terms: z + -0.5z = 0.5z -5.9 + 0.5z = -6.5(z + -3.4) Reorder the terms: -5.9 + 0.5z = -6.5(-3.4 + z) -5.9 + 0.5z = (-3.4 * -6.5 + z * -6.5) -5.9 + 0.5z = (22.1 + -6.5z) Solving -5.9 + 0.5z = 22.1 + -6.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6.5z' to each side of the equation. -5.9 + 0.5z + 6.5z = 22.1 + -6.5z + 6.5z Combine like terms: 0.5z + 6.5z = 7z -5.9 + 7z = 22.1 + -6.5z + 6.5z Combine like terms: -6.5z + 6.5z = 0.0 -5.9 + 7z = 22.1 + 0.0 -5.9 + 7z = 22.1 Add '5.9' to each side of the equation. -5.9 + 5.9 + 7z = 22.1 + 5.9 Combine like terms: -5.9 + 5.9 = 0.0 0.0 + 7z = 22.1 + 5.9 7z = 22.1 + 5.9 Combine like terms: 22.1 + 5.9 = 28 7z = 28 Divide each side by '7'. z = 4 Simplifying z = 4
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