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Simplifying z + -0.9z + -2 = 6.5(z + 5.6) Reorder the terms: -2 + z + -0.9z = 6.5(z + 5.6) Combine like terms: z + -0.9z = 0.1z -2 + 0.1z = 6.5(z + 5.6) Reorder the terms: -2 + 0.1z = 6.5(5.6 + z) -2 + 0.1z = (5.6 * 6.5 + z * 6.5) -2 + 0.1z = (36.4 + 6.5z) Solving -2 + 0.1z = 36.4 + 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. -2 + 0.1z + -6.5z = 36.4 + 6.5z + -6.5z Combine like terms: 0.1z + -6.5z = -6.4z -2 + -6.4z = 36.4 + 6.5z + -6.5z Combine like terms: 6.5z + -6.5z = 0.0 -2 + -6.4z = 36.4 + 0.0 -2 + -6.4z = 36.4 Add '2' to each side of the equation. -2 + 2 + -6.4z = 36.4 + 2 Combine like terms: -2 + 2 = 0 0 + -6.4z = 36.4 + 2 -6.4z = 36.4 + 2 Combine like terms: 36.4 + 2 = 38.4 -6.4z = 38.4 Divide each side by '-6.4'. z = -6 Simplifying z = -6
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