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Simplifying 0.1z + 3.4 = 6.1z + -2.6 Reorder the terms: 3.4 + 0.1z = 6.1z + -2.6 Reorder the terms: 3.4 + 0.1z = -2.6 + 6.1z Solving 3.4 + 0.1z = -2.6 + 6.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6.1z' to each side of the equation. 3.4 + 0.1z + -6.1z = -2.6 + 6.1z + -6.1z Combine like terms: 0.1z + -6.1z = -6z 3.4 + -6z = -2.6 + 6.1z + -6.1z Combine like terms: 6.1z + -6.1z = 0.0 3.4 + -6z = -2.6 + 0.0 3.4 + -6z = -2.6 Add '-3.4' to each side of the equation. 3.4 + -3.4 + -6z = -2.6 + -3.4 Combine like terms: 3.4 + -3.4 = 0.0 0.0 + -6z = -2.6 + -3.4 -6z = -2.6 + -3.4 Combine like terms: -2.6 + -3.4 = -6 -6z = -6 Divide each side by '-6'. z = 1 Simplifying z = 1
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