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Simplifying -6n + 19 = 1 + -4(3n + 6) Reorder the terms: 19 + -6n = 1 + -4(3n + 6) Reorder the terms: 19 + -6n = 1 + -4(6 + 3n) 19 + -6n = 1 + (6 * -4 + 3n * -4) 19 + -6n = 1 + (-24 + -12n) Combine like terms: 1 + -24 = -23 19 + -6n = -23 + -12n Solving 19 + -6n = -23 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 19 + -6n + 12n = -23 + -12n + 12n Combine like terms: -6n + 12n = 6n 19 + 6n = -23 + -12n + 12n Combine like terms: -12n + 12n = 0 19 + 6n = -23 + 0 19 + 6n = -23 Add '-19' to each side of the equation. 19 + -19 + 6n = -23 + -19 Combine like terms: 19 + -19 = 0 0 + 6n = -23 + -19 6n = -23 + -19 Combine like terms: -23 + -19 = -42 6n = -42 Divide each side by '6'. n = -7 Simplifying n = -7
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