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Simplifying 0.5(16n + -12) = 9n + 11 Reorder the terms: 0.5(-12 + 16n) = 9n + 11 (-12 * 0.5 + 16n * 0.5) = 9n + 11 (-6 + 8n) = 9n + 11 Reorder the terms: -6 + 8n = 11 + 9n Solving -6 + 8n = 11 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -6 + 8n + -9n = 11 + 9n + -9n Combine like terms: 8n + -9n = -1n -6 + -1n = 11 + 9n + -9n Combine like terms: 9n + -9n = 0 -6 + -1n = 11 + 0 -6 + -1n = 11 Add '6' to each side of the equation. -6 + 6 + -1n = 11 + 6 Combine like terms: -6 + 6 = 0 0 + -1n = 11 + 6 -1n = 11 + 6 Combine like terms: 11 + 6 = 17 -1n = 17 Divide each side by '-1'. n = -17 Simplifying n = -17
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