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Simplifying -7(7 + -3n) = 6n + -19 (7 * -7 + -3n * -7) = 6n + -19 (-49 + 21n) = 6n + -19 Reorder the terms: -49 + 21n = -19 + 6n Solving -49 + 21n = -19 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -49 + 21n + -6n = -19 + 6n + -6n Combine like terms: 21n + -6n = 15n -49 + 15n = -19 + 6n + -6n Combine like terms: 6n + -6n = 0 -49 + 15n = -19 + 0 -49 + 15n = -19 Add '49' to each side of the equation. -49 + 49 + 15n = -19 + 49 Combine like terms: -49 + 49 = 0 0 + 15n = -19 + 49 15n = -19 + 49 Combine like terms: -19 + 49 = 30 15n = 30 Divide each side by '15'. n = 2 Simplifying n = 2
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