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Simplifying z + 1.8z + -2.2 = 5(z + -6.6) Reorder the terms: -2.2 + z + 1.8z = 5(z + -6.6) Combine like terms: z + 1.8z = 2.8z -2.2 + 2.8z = 5(z + -6.6) Reorder the terms: -2.2 + 2.8z = 5(-6.6 + z) -2.2 + 2.8z = (-6.6 * 5 + z * 5) -2.2 + 2.8z = (-33 + 5z) Solving -2.2 + 2.8z = -33 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -2.2 + 2.8z + -5z = -33 + 5z + -5z Combine like terms: 2.8z + -5z = -2.2z -2.2 + -2.2z = -33 + 5z + -5z Combine like terms: 5z + -5z = 0 -2.2 + -2.2z = -33 + 0 -2.2 + -2.2z = -33 Add '2.2' to each side of the equation. -2.2 + 2.2 + -2.2z = -33 + 2.2 Combine like terms: -2.2 + 2.2 = 0.0 0.0 + -2.2z = -33 + 2.2 -2.2z = -33 + 2.2 Combine like terms: -33 + 2.2 = -30.8 -2.2z = -30.8 Divide each side by '-2.2'. z = 14 Simplifying z = 14
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