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Simplifying -2(n + -7) = 19 + -3n Reorder the terms: -2(-7 + n) = 19 + -3n (-7 * -2 + n * -2) = 19 + -3n (14 + -2n) = 19 + -3n Solving 14 + -2n = 19 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 14 + -2n + 3n = 19 + -3n + 3n Combine like terms: -2n + 3n = 1n 14 + 1n = 19 + -3n + 3n Combine like terms: -3n + 3n = 0 14 + 1n = 19 + 0 14 + 1n = 19 Add '-14' to each side of the equation. 14 + -14 + 1n = 19 + -14 Combine like terms: 14 + -14 = 0 0 + 1n = 19 + -14 1n = 19 + -14 Combine like terms: 19 + -14 = 5 1n = 5 Divide each side by '1'. n = 5 Simplifying n = 5
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