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Simplifying 7(n + -7) + -7(2 + 3n) = 9 + -8n Reorder the terms: 7(-7 + n) + -7(2 + 3n) = 9 + -8n (-7 * 7 + n * 7) + -7(2 + 3n) = 9 + -8n (-49 + 7n) + -7(2 + 3n) = 9 + -8n -49 + 7n + (2 * -7 + 3n * -7) = 9 + -8n -49 + 7n + (-14 + -21n) = 9 + -8n Reorder the terms: -49 + -14 + 7n + -21n = 9 + -8n Combine like terms: -49 + -14 = -63 -63 + 7n + -21n = 9 + -8n Combine like terms: 7n + -21n = -14n -63 + -14n = 9 + -8n Solving -63 + -14n = 9 + -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. -63 + -14n + 8n = 9 + -8n + 8n Combine like terms: -14n + 8n = -6n -63 + -6n = 9 + -8n + 8n Combine like terms: -8n + 8n = 0 -63 + -6n = 9 + 0 -63 + -6n = 9 Add '63' to each side of the equation. -63 + 63 + -6n = 9 + 63 Combine like terms: -63 + 63 = 0 0 + -6n = 9 + 63 -6n = 9 + 63 Combine like terms: 9 + 63 = 72 -6n = 72 Divide each side by '-6'. n = -12 Simplifying n = -12
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