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Simplifying 8(n + -2) + -8(n + 12) = -9n + 2n Reorder the terms: 8(-2 + n) + -8(n + 12) = -9n + 2n (-2 * 8 + n * 8) + -8(n + 12) = -9n + 2n (-16 + 8n) + -8(n + 12) = -9n + 2n Reorder the terms: -16 + 8n + -8(12 + n) = -9n + 2n -16 + 8n + (12 * -8 + n * -8) = -9n + 2n -16 + 8n + (-96 + -8n) = -9n + 2n Reorder the terms: -16 + -96 + 8n + -8n = -9n + 2n Combine like terms: -16 + -96 = -112 -112 + 8n + -8n = -9n + 2n Combine like terms: 8n + -8n = 0 -112 + 0 = -9n + 2n -112 = -9n + 2n Combine like terms: -9n + 2n = -7n -112 = -7n Solving -112 = -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -112 + 7n = -7n + 7n Combine like terms: -7n + 7n = 0 -112 + 7n = 0 Add '112' to each side of the equation. -112 + 112 + 7n = 0 + 112 Combine like terms: -112 + 112 = 0 0 + 7n = 0 + 112 7n = 0 + 112 Combine like terms: 0 + 112 = 112 7n = 112 Divide each side by '7'. n = 16 Simplifying n = 16
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