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Simplifying -1(3 + 9n) + 7 = 9 + -1(5 + n) (3 * -1 + 9n * -1) + 7 = 9 + -1(5 + n) (-3 + -9n) + 7 = 9 + -1(5 + n) Reorder the terms: -3 + 7 + -9n = 9 + -1(5 + n) Combine like terms: -3 + 7 = 4 4 + -9n = 9 + -1(5 + n) 4 + -9n = 9 + (5 * -1 + n * -1) 4 + -9n = 9 + (-5 + -1n) Combine like terms: 9 + -5 = 4 4 + -9n = 4 + -1n Add '-4' to each side of the equation. 4 + -4 + -9n = 4 + -4 + -1n Combine like terms: 4 + -4 = 0 0 + -9n = 4 + -4 + -1n -9n = 4 + -4 + -1n Combine like terms: 4 + -4 = 0 -9n = 0 + -1n -9n = -1n Solving -9n = -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -9n + n = -1n + n Combine like terms: -9n + n = -8n -8n = -1n + n Combine like terms: -1n + n = 0 -8n = 0 Divide each side by '-8'. n = 0 Simplifying n = 0
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