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Simplifying -8(n + 7) = 5 + -9(n + 7) Reorder the terms: -8(7 + n) = 5 + -9(n + 7) (7 * -8 + n * -8) = 5 + -9(n + 7) (-56 + -8n) = 5 + -9(n + 7) Reorder the terms: -56 + -8n = 5 + -9(7 + n) -56 + -8n = 5 + (7 * -9 + n * -9) -56 + -8n = 5 + (-63 + -9n) Combine like terms: 5 + -63 = -58 -56 + -8n = -58 + -9n Solving -56 + -8n = -58 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -56 + -8n + 9n = -58 + -9n + 9n Combine like terms: -8n + 9n = 1n -56 + 1n = -58 + -9n + 9n Combine like terms: -9n + 9n = 0 -56 + 1n = -58 + 0 -56 + 1n = -58 Add '56' to each side of the equation. -56 + 56 + 1n = -58 + 56 Combine like terms: -56 + 56 = 0 0 + 1n = -58 + 56 1n = -58 + 56 Combine like terms: -58 + 56 = -2 1n = -2 Divide each side by '1'. n = -2 Simplifying n = -2
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