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Simplifying 9n + -3 = 8(n + 3) + 2n Reorder the terms: -3 + 9n = 8(n + 3) + 2n Reorder the terms: -3 + 9n = 8(3 + n) + 2n -3 + 9n = (3 * 8 + n * 8) + 2n -3 + 9n = (24 + 8n) + 2n Combine like terms: 8n + 2n = 10n -3 + 9n = 24 + 10n Solving -3 + 9n = 24 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -3 + 9n + -10n = 24 + 10n + -10n Combine like terms: 9n + -10n = -1n -3 + -1n = 24 + 10n + -10n Combine like terms: 10n + -10n = 0 -3 + -1n = 24 + 0 -3 + -1n = 24 Add '3' to each side of the equation. -3 + 3 + -1n = 24 + 3 Combine like terms: -3 + 3 = 0 0 + -1n = 24 + 3 -1n = 24 + 3 Combine like terms: 24 + 3 = 27 -1n = 27 Divide each side by '-1'. n = -27 Simplifying n = -27
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