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Simplifying 13 + -12n + 15n = -4(2n + -6) Combine like terms: -12n + 15n = 3n 13 + 3n = -4(2n + -6) Reorder the terms: 13 + 3n = -4(-6 + 2n) 13 + 3n = (-6 * -4 + 2n * -4) 13 + 3n = (24 + -8n) Solving 13 + 3n = 24 + -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. 13 + 3n + 8n = 24 + -8n + 8n Combine like terms: 3n + 8n = 11n 13 + 11n = 24 + -8n + 8n Combine like terms: -8n + 8n = 0 13 + 11n = 24 + 0 13 + 11n = 24 Add '-13' to each side of the equation. 13 + -13 + 11n = 24 + -13 Combine like terms: 13 + -13 = 0 0 + 11n = 24 + -13 11n = 24 + -13 Combine like terms: 24 + -13 = 11 11n = 11 Divide each side by '11'. n = 1 Simplifying n = 1
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