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Simplifying -13 + -17n = -6 + -9(n + 3) Reorder the terms: -13 + -17n = -6 + -9(3 + n) -13 + -17n = -6 + (3 * -9 + n * -9) -13 + -17n = -6 + (-27 + -9n) Combine like terms: -6 + -27 = -33 -13 + -17n = -33 + -9n Solving -13 + -17n = -33 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -13 + -17n + 9n = -33 + -9n + 9n Combine like terms: -17n + 9n = -8n -13 + -8n = -33 + -9n + 9n Combine like terms: -9n + 9n = 0 -13 + -8n = -33 + 0 -13 + -8n = -33 Add '13' to each side of the equation. -13 + 13 + -8n = -33 + 13 Combine like terms: -13 + 13 = 0 0 + -8n = -33 + 13 -8n = -33 + 13 Combine like terms: -33 + 13 = -20 -8n = -20 Divide each side by '-8'. n = 2.5 Simplifying n = 2.5
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