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Simplifying -16 + 5n = -7 + -6 + 8n Combine like terms: -7 + -6 = -13 -16 + 5n = -13 + 8n Solving -16 + 5n = -13 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -16 + 5n + -8n = -13 + 8n + -8n Combine like terms: 5n + -8n = -3n -16 + -3n = -13 + 8n + -8n Combine like terms: 8n + -8n = 0 -16 + -3n = -13 + 0 -16 + -3n = -13 Add '16' to each side of the equation. -16 + 16 + -3n = -13 + 16 Combine like terms: -16 + 16 = 0 0 + -3n = -13 + 16 -3n = -13 + 16 Combine like terms: -13 + 16 = 3 -3n = 3 Divide each side by '-3'. n = -1 Simplifying n = -1
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