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Simplifying -8(n + 4) = 7(2n + 8) Reorder the terms: -8(4 + n) = 7(2n + 8) (4 * -8 + n * -8) = 7(2n + 8) (-32 + -8n) = 7(2n + 8) Reorder the terms: -32 + -8n = 7(8 + 2n) -32 + -8n = (8 * 7 + 2n * 7) -32 + -8n = (56 + 14n) Solving -32 + -8n = 56 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -32 + -8n + -14n = 56 + 14n + -14n Combine like terms: -8n + -14n = -22n -32 + -22n = 56 + 14n + -14n Combine like terms: 14n + -14n = 0 -32 + -22n = 56 + 0 -32 + -22n = 56 Add '32' to each side of the equation. -32 + 32 + -22n = 56 + 32 Combine like terms: -32 + 32 = 0 0 + -22n = 56 + 32 -22n = 56 + 32 Combine like terms: 56 + 32 = 88 -22n = 88 Divide each side by '-22'. n = -4 Simplifying n = -4
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