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Simplifying z + -1.8z + 5.9 = -4.3(z + -3) Reorder the terms: 5.9 + z + -1.8z = -4.3(z + -3) Combine like terms: z + -1.8z = -0.8z 5.9 + -0.8z = -4.3(z + -3) Reorder the terms: 5.9 + -0.8z = -4.3(-3 + z) 5.9 + -0.8z = (-3 * -4.3 + z * -4.3) 5.9 + -0.8z = (12.9 + -4.3z) Solving 5.9 + -0.8z = 12.9 + -4.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4.3z' to each side of the equation. 5.9 + -0.8z + 4.3z = 12.9 + -4.3z + 4.3z Combine like terms: -0.8z + 4.3z = 3.5z 5.9 + 3.5z = 12.9 + -4.3z + 4.3z Combine like terms: -4.3z + 4.3z = 0.0 5.9 + 3.5z = 12.9 + 0.0 5.9 + 3.5z = 12.9 Add '-5.9' to each side of the equation. 5.9 + -5.9 + 3.5z = 12.9 + -5.9 Combine like terms: 5.9 + -5.9 = 0.0 0.0 + 3.5z = 12.9 + -5.9 3.5z = 12.9 + -5.9 Combine like terms: 12.9 + -5.9 = 7 3.5z = 7 Divide each side by '3.5'. z = 2 Simplifying z = 2
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