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Simplifying -0.9 = 2.8z + -1.8z + -3.5 Reorder the terms: -0.9 = -3.5 + 2.8z + -1.8z Combine like terms: 2.8z + -1.8z = 1z -0.9 = -3.5 + 1z Solving -0.9 = -3.5 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -0.9 + -1z = -3.5 + 1z + -1z Combine like terms: 1z + -1z = 0 -0.9 + -1z = -3.5 + 0 -0.9 + -1z = -3.5 Add '0.9' to each side of the equation. -0.9 + 0.9 + -1z = -3.5 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + -1z = -3.5 + 0.9 -1z = -3.5 + 0.9 Combine like terms: -3.5 + 0.9 = -2.6 -1z = -2.6 Divide each side by '-1'. z = 2.6 Simplifying z = 2.6
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