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Simplifying 11(2n + 3) + -44 = 19(n + -2) + 87 Reorder the terms: 11(3 + 2n) + -44 = 19(n + -2) + 87 (3 * 11 + 2n * 11) + -44 = 19(n + -2) + 87 (33 + 22n) + -44 = 19(n + -2) + 87 Reorder the terms: 33 + -44 + 22n = 19(n + -2) + 87 Combine like terms: 33 + -44 = -11 -11 + 22n = 19(n + -2) + 87 Reorder the terms: -11 + 22n = 19(-2 + n) + 87 -11 + 22n = (-2 * 19 + n * 19) + 87 -11 + 22n = (-38 + 19n) + 87 Reorder the terms: -11 + 22n = -38 + 87 + 19n Combine like terms: -38 + 87 = 49 -11 + 22n = 49 + 19n Solving -11 + 22n = 49 + 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. -11 + 22n + -19n = 49 + 19n + -19n Combine like terms: 22n + -19n = 3n -11 + 3n = 49 + 19n + -19n Combine like terms: 19n + -19n = 0 -11 + 3n = 49 + 0 -11 + 3n = 49 Add '11' to each side of the equation. -11 + 11 + 3n = 49 + 11 Combine like terms: -11 + 11 = 0 0 + 3n = 49 + 11 3n = 49 + 11 Combine like terms: 49 + 11 = 60 3n = 60 Divide each side by '3'. n = 20 Simplifying n = 20
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