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Simplifying n + -6 + -7 = -4n + 8n + 23 Reorder the terms: -6 + -7 + n = -4n + 8n + 23 Combine like terms: -6 + -7 = -13 -13 + n = -4n + 8n + 23 Reorder the terms: -13 + n = 23 + -4n + 8n Combine like terms: -4n + 8n = 4n -13 + n = 23 + 4n Solving -13 + n = 23 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -13 + n + -4n = 23 + 4n + -4n Combine like terms: n + -4n = -3n -13 + -3n = 23 + 4n + -4n Combine like terms: 4n + -4n = 0 -13 + -3n = 23 + 0 -13 + -3n = 23 Add '13' to each side of the equation. -13 + 13 + -3n = 23 + 13 Combine like terms: -13 + 13 = 0 0 + -3n = 23 + 13 -3n = 23 + 13 Combine like terms: 23 + 13 = 36 -3n = 36 Divide each side by '-3'. n = -12 Simplifying n = -12
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