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Simplifying -6(n + 3) + 19 = -3n + -8 Reorder the terms: -6(3 + n) + 19 = -3n + -8 (3 * -6 + n * -6) + 19 = -3n + -8 (-18 + -6n) + 19 = -3n + -8 Reorder the terms: -18 + 19 + -6n = -3n + -8 Combine like terms: -18 + 19 = 1 1 + -6n = -3n + -8 Reorder the terms: 1 + -6n = -8 + -3n Solving 1 + -6n = -8 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 1 + -6n + 3n = -8 + -3n + 3n Combine like terms: -6n + 3n = -3n 1 + -3n = -8 + -3n + 3n Combine like terms: -3n + 3n = 0 1 + -3n = -8 + 0 1 + -3n = -8 Add '-1' to each side of the equation. 1 + -1 + -3n = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -3n = -8 + -1 -3n = -8 + -1 Combine like terms: -8 + -1 = -9 -3n = -9 Divide each side by '-3'. n = 3 Simplifying n = 3
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