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Simplifying -6(n + 3) + 19 = -4n + -9 Reorder the terms: -6(3 + n) + 19 = -4n + -9 (3 * -6 + n * -6) + 19 = -4n + -9 (-18 + -6n) + 19 = -4n + -9 Reorder the terms: -18 + 19 + -6n = -4n + -9 Combine like terms: -18 + 19 = 1 1 + -6n = -4n + -9 Reorder the terms: 1 + -6n = -9 + -4n Solving 1 + -6n = -9 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 1 + -6n + 4n = -9 + -4n + 4n Combine like terms: -6n + 4n = -2n 1 + -2n = -9 + -4n + 4n Combine like terms: -4n + 4n = 0 1 + -2n = -9 + 0 1 + -2n = -9 Add '-1' to each side of the equation. 1 + -1 + -2n = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = -9 + -1 -2n = -9 + -1 Combine like terms: -9 + -1 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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