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Simplifying -9 + -7 = 8n + -6(2 + n) Combine like terms: -9 + -7 = -16 -16 = 8n + -6(2 + n) -16 = 8n + (2 * -6 + n * -6) -16 = 8n + (-12 + -6n) Reorder the terms: -16 = -12 + 8n + -6n Combine like terms: 8n + -6n = 2n -16 = -12 + 2n Solving -16 = -12 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -16 + -2n = -12 + 2n + -2n Combine like terms: 2n + -2n = 0 -16 + -2n = -12 + 0 -16 + -2n = -12 Add '16' to each side of the equation. -16 + 16 + -2n = -12 + 16 Combine like terms: -16 + 16 = 0 0 + -2n = -12 + 16 -2n = -12 + 16 Combine like terms: -12 + 16 = 4 -2n = 4 Divide each side by '-2'. n = -2 Simplifying n = -2
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