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Simplifying -11 + 2 + 7n + -8n = n + 7 Combine like terms: -11 + 2 = -9 -9 + 7n + -8n = n + 7 Combine like terms: 7n + -8n = -1n -9 + -1n = n + 7 Reorder the terms: -9 + -1n = 7 + n Solving -9 + -1n = 7 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -9 + -1n + -1n = 7 + n + -1n Combine like terms: -1n + -1n = -2n -9 + -2n = 7 + n + -1n Combine like terms: n + -1n = 0 -9 + -2n = 7 + 0 -9 + -2n = 7 Add '9' to each side of the equation. -9 + 9 + -2n = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -2n = 7 + 9 -2n = 7 + 9 Combine like terms: 7 + 9 = 16 -2n = 16 Divide each side by '-2'. n = -8 Simplifying n = -8
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