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Simplifying 0.1n + 0.9(n + -0.1) = -2.86 Reorder the terms: 0.1n + 0.9(-0.1 + n) = -2.86 0.1n + (-0.1 * 0.9 + n * 0.9) = -2.86 0.1n + (-0.09 + 0.9n) = -2.86 Reorder the terms: -0.09 + 0.1n + 0.9n = -2.86 Combine like terms: 0.1n + 0.9n = 1n -0.09 + 1n = -2.86 Solving -0.09 + 1n = -2.86 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.09' to each side of the equation. -0.09 + 0.09 + 1n = -2.86 + 0.09 Combine like terms: -0.09 + 0.09 = 0.00 0.00 + 1n = -2.86 + 0.09 1n = -2.86 + 0.09 Combine like terms: -2.86 + 0.09 = -2.77 1n = -2.77 Divide each side by '1'. n = -2.77 Simplifying n = -2.77
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