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Simplifying -2n + 28 = -8(2 + 3n) Reorder the terms: 28 + -2n = -8(2 + 3n) 28 + -2n = (2 * -8 + 3n * -8) 28 + -2n = (-16 + -24n) Solving 28 + -2n = -16 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 28 + -2n + 24n = -16 + -24n + 24n Combine like terms: -2n + 24n = 22n 28 + 22n = -16 + -24n + 24n Combine like terms: -24n + 24n = 0 28 + 22n = -16 + 0 28 + 22n = -16 Add '-28' to each side of the equation. 28 + -28 + 22n = -16 + -28 Combine like terms: 28 + -28 = 0 0 + 22n = -16 + -28 22n = -16 + -28 Combine like terms: -16 + -28 = -44 22n = -44 Divide each side by '22'. n = -2 Simplifying n = -2
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