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Simplifying -8n + -2 + 7n = n + 14 Reorder the terms: -2 + -8n + 7n = n + 14 Combine like terms: -8n + 7n = -1n -2 + -1n = n + 14 Reorder the terms: -2 + -1n = 14 + n Solving -2 + -1n = 14 + 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. -2 + -1n + -1n = 14 + n + -1n Combine like terms: -1n + -1n = -2n -2 + -2n = 14 + n + -1n Combine like terms: n + -1n = 0 -2 + -2n = 14 + 0 -2 + -2n = 14 Add '2' to each side of the equation. -2 + 2 + -2n = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -2n = 14 + 2 -2n = 14 + 2 Combine like terms: 14 + 2 = 16 -2n = 16 Divide each side by '-2'. n = -8 Simplifying n = -8
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