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Simplifying 19 + -6n = 5(1 + -1n) + 6 19 + -6n = (1 * 5 + -1n * 5) + 6 19 + -6n = (5 + -5n) + 6 Reorder the terms: 19 + -6n = 5 + 6 + -5n Combine like terms: 5 + 6 = 11 19 + -6n = 11 + -5n Solving 19 + -6n = 11 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 19 + -6n + 5n = 11 + -5n + 5n Combine like terms: -6n + 5n = -1n 19 + -1n = 11 + -5n + 5n Combine like terms: -5n + 5n = 0 19 + -1n = 11 + 0 19 + -1n = 11 Add '-19' to each side of the equation. 19 + -19 + -1n = 11 + -19 Combine like terms: 19 + -19 = 0 0 + -1n = 11 + -19 -1n = 11 + -19 Combine like terms: 11 + -19 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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