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Simplifying 3(12 + -8n) + -4 = 2(-9n + -11) (12 * 3 + -8n * 3) + -4 = 2(-9n + -11) (36 + -24n) + -4 = 2(-9n + -11) Reorder the terms: 36 + -4 + -24n = 2(-9n + -11) Combine like terms: 36 + -4 = 32 32 + -24n = 2(-9n + -11) Reorder the terms: 32 + -24n = 2(-11 + -9n) 32 + -24n = (-11 * 2 + -9n * 2) 32 + -24n = (-22 + -18n) Solving 32 + -24n = -22 + -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. 32 + -24n + 18n = -22 + -18n + 18n Combine like terms: -24n + 18n = -6n 32 + -6n = -22 + -18n + 18n Combine like terms: -18n + 18n = 0 32 + -6n = -22 + 0 32 + -6n = -22 Add '-32' to each side of the equation. 32 + -32 + -6n = -22 + -32 Combine like terms: 32 + -32 = 0 0 + -6n = -22 + -32 -6n = -22 + -32 Combine like terms: -22 + -32 = -54 -6n = -54 Divide each side by '-6'. n = 9 Simplifying n = 9
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