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Simplifying 23n + -4(5 + -6n) = 36 + -1(21 + -19n) 23n + (5 * -4 + -6n * -4) = 36 + -1(21 + -19n) 23n + (-20 + 24n) = 36 + -1(21 + -19n) Reorder the terms: -20 + 23n + 24n = 36 + -1(21 + -19n) Combine like terms: 23n + 24n = 47n -20 + 47n = 36 + -1(21 + -19n) -20 + 47n = 36 + (21 * -1 + -19n * -1) -20 + 47n = 36 + (-21 + 19n) Combine like terms: 36 + -21 = 15 -20 + 47n = 15 + 19n Solving -20 + 47n = 15 + 19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-19n' to each side of the equation. -20 + 47n + -19n = 15 + 19n + -19n Combine like terms: 47n + -19n = 28n -20 + 28n = 15 + 19n + -19n Combine like terms: 19n + -19n = 0 -20 + 28n = 15 + 0 -20 + 28n = 15 Add '20' to each side of the equation. -20 + 20 + 28n = 15 + 20 Combine like terms: -20 + 20 = 0 0 + 28n = 15 + 20 28n = 15 + 20 Combine like terms: 15 + 20 = 35 28n = 35 Divide each side by '28'. n = 1.25 Simplifying n = 1.25
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