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Simplifying 27 + 11n + -15 = 6(3n + -5) Reorder the terms: 27 + -15 + 11n = 6(3n + -5) Combine like terms: 27 + -15 = 12 12 + 11n = 6(3n + -5) Reorder the terms: 12 + 11n = 6(-5 + 3n) 12 + 11n = (-5 * 6 + 3n * 6) 12 + 11n = (-30 + 18n) Solving 12 + 11n = -30 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 12 + 11n + -18n = -30 + 18n + -18n Combine like terms: 11n + -18n = -7n 12 + -7n = -30 + 18n + -18n Combine like terms: 18n + -18n = 0 12 + -7n = -30 + 0 12 + -7n = -30 Add '-12' to each side of the equation. 12 + -12 + -7n = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -7n = -30 + -12 -7n = -30 + -12 Combine like terms: -30 + -12 = -42 -7n = -42 Divide each side by '-7'. n = 6 Simplifying n = 6
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