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Simplifying -5n + 19 = -7(-4n + 2) Reorder the terms: 19 + -5n = -7(-4n + 2) Reorder the terms: 19 + -5n = -7(2 + -4n) 19 + -5n = (2 * -7 + -4n * -7) 19 + -5n = (-14 + 28n) Solving 19 + -5n = -14 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 19 + -5n + -28n = -14 + 28n + -28n Combine like terms: -5n + -28n = -33n 19 + -33n = -14 + 28n + -28n Combine like terms: 28n + -28n = 0 19 + -33n = -14 + 0 19 + -33n = -14 Add '-19' to each side of the equation. 19 + -19 + -33n = -14 + -19 Combine like terms: 19 + -19 = 0 0 + -33n = -14 + -19 -33n = -14 + -19 Combine like terms: -14 + -19 = -33 -33n = -33 Divide each side by '-33'. n = 1 Simplifying n = 1
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