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Simplifying 7(n + -8) = 8n + -7 Reorder the terms: 7(-8 + n) = 8n + -7 (-8 * 7 + n * 7) = 8n + -7 (-56 + 7n) = 8n + -7 Reorder the terms: -56 + 7n = -7 + 8n Solving -56 + 7n = -7 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -56 + 7n + -8n = -7 + 8n + -8n Combine like terms: 7n + -8n = -1n -56 + -1n = -7 + 8n + -8n Combine like terms: 8n + -8n = 0 -56 + -1n = -7 + 0 -56 + -1n = -7 Add '56' to each side of the equation. -56 + 56 + -1n = -7 + 56 Combine like terms: -56 + 56 = 0 0 + -1n = -7 + 56 -1n = -7 + 56 Combine like terms: -7 + 56 = 49 -1n = 49 Divide each side by '-1'. n = -49 Simplifying n = -49
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