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Simplifying 7(n + 3) + -6(n + -4) = 19 Reorder the terms: 7(3 + n) + -6(n + -4) = 19 (3 * 7 + n * 7) + -6(n + -4) = 19 (21 + 7n) + -6(n + -4) = 19 Reorder the terms: 21 + 7n + -6(-4 + n) = 19 21 + 7n + (-4 * -6 + n * -6) = 19 21 + 7n + (24 + -6n) = 19 Reorder the terms: 21 + 24 + 7n + -6n = 19 Combine like terms: 21 + 24 = 45 45 + 7n + -6n = 19 Combine like terms: 7n + -6n = 1n 45 + 1n = 19 Solving 45 + 1n = 19 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 1n = 19 + -45 Combine like terms: 45 + -45 = 0 0 + 1n = 19 + -45 1n = 19 + -45 Combine like terms: 19 + -45 = -26 1n = -26 Divide each side by '1'. n = -26 Simplifying n = -26
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