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Simplifying 8(n + -2) + -5(1 + 2n) = -3n + 8n Reorder the terms: 8(-2 + n) + -5(1 + 2n) = -3n + 8n (-2 * 8 + n * 8) + -5(1 + 2n) = -3n + 8n (-16 + 8n) + -5(1 + 2n) = -3n + 8n -16 + 8n + (1 * -5 + 2n * -5) = -3n + 8n -16 + 8n + (-5 + -10n) = -3n + 8n Reorder the terms: -16 + -5 + 8n + -10n = -3n + 8n Combine like terms: -16 + -5 = -21 -21 + 8n + -10n = -3n + 8n Combine like terms: 8n + -10n = -2n -21 + -2n = -3n + 8n Combine like terms: -3n + 8n = 5n -21 + -2n = 5n Solving -21 + -2n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -21 + -2n + -5n = 5n + -5n Combine like terms: -2n + -5n = -7n -21 + -7n = 5n + -5n Combine like terms: 5n + -5n = 0 -21 + -7n = 0 Add '21' to each side of the equation. -21 + 21 + -7n = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -7n = 0 + 21 -7n = 0 + 21 Combine like terms: 0 + 21 = 21 -7n = 21 Divide each side by '-7'. n = -3 Simplifying n = -3
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