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Simplifying 9(n + -15) + -17n = -3 + -9(n + 13) Reorder the terms: 9(-15 + n) + -17n = -3 + -9(n + 13) (-15 * 9 + n * 9) + -17n = -3 + -9(n + 13) (-135 + 9n) + -17n = -3 + -9(n + 13) Combine like terms: 9n + -17n = -8n -135 + -8n = -3 + -9(n + 13) Reorder the terms: -135 + -8n = -3 + -9(13 + n) -135 + -8n = -3 + (13 * -9 + n * -9) -135 + -8n = -3 + (-117 + -9n) Combine like terms: -3 + -117 = -120 -135 + -8n = -120 + -9n Solving -135 + -8n = -120 + -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. -135 + -8n + 9n = -120 + -9n + 9n Combine like terms: -8n + 9n = 1n -135 + 1n = -120 + -9n + 9n Combine like terms: -9n + 9n = 0 -135 + 1n = -120 + 0 -135 + 1n = -120 Add '135' to each side of the equation. -135 + 135 + 1n = -120 + 135 Combine like terms: -135 + 135 = 0 0 + 1n = -120 + 135 1n = -120 + 135 Combine like terms: -120 + 135 = 15 1n = 15 Divide each side by '1'. n = 15 Simplifying n = 15
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