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Simplifying -6(n + 3) + 19 = -2n + -11 Reorder the terms: -6(3 + n) + 19 = -2n + -11 (3 * -6 + n * -6) + 19 = -2n + -11 (-18 + -6n) + 19 = -2n + -11 Reorder the terms: -18 + 19 + -6n = -2n + -11 Combine like terms: -18 + 19 = 1 1 + -6n = -2n + -11 Reorder the terms: 1 + -6n = -11 + -2n Solving 1 + -6n = -11 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 1 + -6n + 2n = -11 + -2n + 2n Combine like terms: -6n + 2n = -4n 1 + -4n = -11 + -2n + 2n Combine like terms: -2n + 2n = 0 1 + -4n = -11 + 0 1 + -4n = -11 Add '-1' to each side of the equation. 1 + -1 + -4n = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -4n = -11 + -1 -4n = -11 + -1 Combine like terms: -11 + -1 = -12 -4n = -12 Divide each side by '-4'. n = 3 Simplifying n = 3
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