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Simplifying 0.10(n + -8) + 0.05n = 2.35 Reorder the terms: 0.10(-8 + n) + 0.05n = 2.35 (-8 * 0.10 + n * 0.10) + 0.05n = 2.35 (-0.8 + 0.10n) + 0.05n = 2.35 Combine like terms: 0.10n + 0.05n = 0.15n -0.8 + 0.15n = 2.35 Solving -0.8 + 0.15n = 2.35 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.15n = 2.35 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.15n = 2.35 + 0.8 0.15n = 2.35 + 0.8 Combine like terms: 2.35 + 0.8 = 3.15 0.15n = 3.15 Divide each side by '0.15'. n = 21 Simplifying n = 21
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