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Simplifying 5z + -0.3 = 6z + -0.1 Reorder the terms: -0.3 + 5z = 6z + -0.1 Reorder the terms: -0.3 + 5z = -0.1 + 6z Solving -0.3 + 5z = -0.1 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -0.3 + 5z + -6z = -0.1 + 6z + -6z Combine like terms: 5z + -6z = -1z -0.3 + -1z = -0.1 + 6z + -6z Combine like terms: 6z + -6z = 0 -0.3 + -1z = -0.1 + 0 -0.3 + -1z = -0.1 Add '0.3' to each side of the equation. -0.3 + 0.3 + -1z = -0.1 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + -1z = -0.1 + 0.3 -1z = -0.1 + 0.3 Combine like terms: -0.1 + 0.3 = 0.2 -1z = 0.2 Divide each side by '-1'. z = -0.2 Simplifying z = -0.2
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