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Simplifying -14 + 2n = -5n + 4(7n + 7) Reorder the terms: -14 + 2n = -5n + 4(7 + 7n) -14 + 2n = -5n + (7 * 4 + 7n * 4) -14 + 2n = -5n + (28 + 28n) Reorder the terms: -14 + 2n = 28 + -5n + 28n Combine like terms: -5n + 28n = 23n -14 + 2n = 28 + 23n Solving -14 + 2n = 28 + 23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-23n' to each side of the equation. -14 + 2n + -23n = 28 + 23n + -23n Combine like terms: 2n + -23n = -21n -14 + -21n = 28 + 23n + -23n Combine like terms: 23n + -23n = 0 -14 + -21n = 28 + 0 -14 + -21n = 28 Add '14' to each side of the equation. -14 + 14 + -21n = 28 + 14 Combine like terms: -14 + 14 = 0 0 + -21n = 28 + 14 -21n = 28 + 14 Combine like terms: 28 + 14 = 42 -21n = 42 Divide each side by '-21'. n = -2 Simplifying n = -2
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