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Simplifying 28 + 2n = 2 + -8(6n + 3) Reorder the terms: 28 + 2n = 2 + -8(3 + 6n) 28 + 2n = 2 + (3 * -8 + 6n * -8) 28 + 2n = 2 + (-24 + -48n) Combine like terms: 2 + -24 = -22 28 + 2n = -22 + -48n Solving 28 + 2n = -22 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. 28 + 2n + 48n = -22 + -48n + 48n Combine like terms: 2n + 48n = 50n 28 + 50n = -22 + -48n + 48n Combine like terms: -48n + 48n = 0 28 + 50n = -22 + 0 28 + 50n = -22 Add '-28' to each side of the equation. 28 + -28 + 50n = -22 + -28 Combine like terms: 28 + -28 = 0 0 + 50n = -22 + -28 50n = -22 + -28 Combine like terms: -22 + -28 = -50 50n = -50 Divide each side by '50'. n = -1 Simplifying n = -1
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