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Simplifying -6(n + 3) + 19 = -4n + -5 Reorder the terms: -6(3 + n) + 19 = -4n + -5 (3 * -6 + n * -6) + 19 = -4n + -5 (-18 + -6n) + 19 = -4n + -5 Reorder the terms: -18 + 19 + -6n = -4n + -5 Combine like terms: -18 + 19 = 1 1 + -6n = -4n + -5 Reorder the terms: 1 + -6n = -5 + -4n Solving 1 + -6n = -5 + -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 = -5 + -4n + 4n Combine like terms: -6n + 4n = -2n 1 + -2n = -5 + -4n + 4n Combine like terms: -4n + 4n = 0 1 + -2n = -5 + 0 1 + -2n = -5 Add '-1' to each side of the equation. 1 + -1 + -2n = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = -5 + -1 -2n = -5 + -1 Combine like terms: -5 + -1 = -6 -2n = -6 Divide each side by '-2'. n = 3 Simplifying n = 3
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