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Simplifying 8(n + -2) = 9(n + -4) + 5 Reorder the terms: 8(-2 + n) = 9(n + -4) + 5 (-2 * 8 + n * 8) = 9(n + -4) + 5 (-16 + 8n) = 9(n + -4) + 5 Reorder the terms: -16 + 8n = 9(-4 + n) + 5 -16 + 8n = (-4 * 9 + n * 9) + 5 -16 + 8n = (-36 + 9n) + 5 Reorder the terms: -16 + 8n = -36 + 5 + 9n Combine like terms: -36 + 5 = -31 -16 + 8n = -31 + 9n Solving -16 + 8n = -31 + 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. -16 + 8n + -9n = -31 + 9n + -9n Combine like terms: 8n + -9n = -1n -16 + -1n = -31 + 9n + -9n Combine like terms: 9n + -9n = 0 -16 + -1n = -31 + 0 -16 + -1n = -31 Add '16' to each side of the equation. -16 + 16 + -1n = -31 + 16 Combine like terms: -16 + 16 = 0 0 + -1n = -31 + 16 -1n = -31 + 16 Combine like terms: -31 + 16 = -15 -1n = -15 Divide each side by '-1'. n = 15 Simplifying n = 15
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