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Simplifying 7(n + -7) + -8n + 48 = 0 Reorder the terms: 7(-7 + n) + -8n + 48 = 0 (-7 * 7 + n * 7) + -8n + 48 = 0 (-49 + 7n) + -8n + 48 = 0 Reorder the terms: -49 + 48 + 7n + -8n = 0 Combine like terms: -49 + 48 = -1 -1 + 7n + -8n = 0 Combine like terms: 7n + -8n = -1n -1 + -1n = 0 Solving -1 + -1n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1n = 0 + 1 -1n = 0 + 1 Combine like terms: 0 + 1 = 1 -1n = 1 Divide each side by '-1'. n = -1 Simplifying n = -1
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