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Simplifying 6n + -2(5n + 8) = -2n + -28 Reorder the terms: 6n + -2(8 + 5n) = -2n + -28 6n + (8 * -2 + 5n * -2) = -2n + -28 6n + (-16 + -10n) = -2n + -28 Reorder the terms: -16 + 6n + -10n = -2n + -28 Combine like terms: 6n + -10n = -4n -16 + -4n = -2n + -28 Reorder the terms: -16 + -4n = -28 + -2n Solving -16 + -4n = -28 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -16 + -4n + 2n = -28 + -2n + 2n Combine like terms: -4n + 2n = -2n -16 + -2n = -28 + -2n + 2n Combine like terms: -2n + 2n = 0 -16 + -2n = -28 + 0 -16 + -2n = -28 Add '16' to each side of the equation. -16 + 16 + -2n = -28 + 16 Combine like terms: -16 + 16 = 0 0 + -2n = -28 + 16 -2n = -28 + 16 Combine like terms: -28 + 16 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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