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Simplifying 11.78 + 0.6n = -0.1n + -0.82 Reorder the terms: 11.78 + 0.6n = -0.82 + -0.1n Solving 11.78 + 0.6n = -0.82 + -0.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.1n' to each side of the equation. 11.78 + 0.6n + 0.1n = -0.82 + -0.1n + 0.1n Combine like terms: 0.6n + 0.1n = 0.7n 11.78 + 0.7n = -0.82 + -0.1n + 0.1n Combine like terms: -0.1n + 0.1n = 0.0 11.78 + 0.7n = -0.82 + 0.0 11.78 + 0.7n = -0.82 Add '-11.78' to each side of the equation. 11.78 + -11.78 + 0.7n = -0.82 + -11.78 Combine like terms: 11.78 + -11.78 = 0.00 0.00 + 0.7n = -0.82 + -11.78 0.7n = -0.82 + -11.78 Combine like terms: -0.82 + -11.78 = -12.6 0.7n = -12.6 Divide each side by '0.7'. n = -18 Simplifying n = -18
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