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Simplifying z + -6z + 3.9 = 5.5(z + -4.8) Reorder the terms: 3.9 + z + -6z = 5.5(z + -4.8) Combine like terms: z + -6z = -5z 3.9 + -5z = 5.5(z + -4.8) Reorder the terms: 3.9 + -5z = 5.5(-4.8 + z) 3.9 + -5z = (-4.8 * 5.5 + z * 5.5) 3.9 + -5z = (-26.4 + 5.5z) Solving 3.9 + -5z = -26.4 + 5.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5.5z' to each side of the equation. 3.9 + -5z + -5.5z = -26.4 + 5.5z + -5.5z Combine like terms: -5z + -5.5z = -10.5z 3.9 + -10.5z = -26.4 + 5.5z + -5.5z Combine like terms: 5.5z + -5.5z = 0.0 3.9 + -10.5z = -26.4 + 0.0 3.9 + -10.5z = -26.4 Add '-3.9' to each side of the equation. 3.9 + -3.9 + -10.5z = -26.4 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + -10.5z = -26.4 + -3.9 -10.5z = -26.4 + -3.9 Combine like terms: -26.4 + -3.9 = -30.3 -10.5z = -30.3 Divide each side by '-10.5'. z = 2.885714286 Simplifying z = 2.885714286
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