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Simplifying 2n + 6(2 + -3n) = -28 + -6n 2n + (2 * 6 + -3n * 6) = -28 + -6n 2n + (12 + -18n) = -28 + -6n Reorder the terms: 12 + 2n + -18n = -28 + -6n Combine like terms: 2n + -18n = -16n 12 + -16n = -28 + -6n Solving 12 + -16n = -28 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 12 + -16n + 6n = -28 + -6n + 6n Combine like terms: -16n + 6n = -10n 12 + -10n = -28 + -6n + 6n Combine like terms: -6n + 6n = 0 12 + -10n = -28 + 0 12 + -10n = -28 Add '-12' to each side of the equation. 12 + -12 + -10n = -28 + -12 Combine like terms: 12 + -12 = 0 0 + -10n = -28 + -12 -10n = -28 + -12 Combine like terms: -28 + -12 = -40 -10n = -40 Divide each side by '-10'. n = 4 Simplifying n = 4
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