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Simplifying -8(n + -2) = 4 + -7n Reorder the terms: -8(-2 + n) = 4 + -7n (-2 * -8 + n * -8) = 4 + -7n (16 + -8n) = 4 + -7n Solving 16 + -8n = 4 + -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. 16 + -8n + 7n = 4 + -7n + 7n Combine like terms: -8n + 7n = -1n 16 + -1n = 4 + -7n + 7n Combine like terms: -7n + 7n = 0 16 + -1n = 4 + 0 16 + -1n = 4 Add '-16' to each side of the equation. 16 + -16 + -1n = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -1n = 4 + -16 -1n = 4 + -16 Combine like terms: 4 + -16 = -12 -1n = -12 Divide each side by '-1'. n = 12 Simplifying n = 12
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