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Simplifying 23 = 4(-6n + -4) + 7(6n + 3) Reorder the terms: 23 = 4(-4 + -6n) + 7(6n + 3) 23 = (-4 * 4 + -6n * 4) + 7(6n + 3) 23 = (-16 + -24n) + 7(6n + 3) Reorder the terms: 23 = -16 + -24n + 7(3 + 6n) 23 = -16 + -24n + (3 * 7 + 6n * 7) 23 = -16 + -24n + (21 + 42n) Reorder the terms: 23 = -16 + 21 + -24n + 42n Combine like terms: -16 + 21 = 5 23 = 5 + -24n + 42n Combine like terms: -24n + 42n = 18n 23 = 5 + 18n Solving 23 = 5 + 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. 23 + -18n = 5 + 18n + -18n Combine like terms: 18n + -18n = 0 23 + -18n = 5 + 0 23 + -18n = 5 Add '-23' to each side of the equation. 23 + -23 + -18n = 5 + -23 Combine like terms: 23 + -23 = 0 0 + -18n = 5 + -23 -18n = 5 + -23 Combine like terms: 5 + -23 = -18 -18n = -18 Divide each side by '-18'. n = 1 Simplifying n = 1
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