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Simplifying 8(-2 + 2n) = -36 + 6n (-2 * 8 + 2n * 8) = -36 + 6n (-16 + 16n) = -36 + 6n Solving -16 + 16n = -36 + 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. -16 + 16n + -6n = -36 + 6n + -6n Combine like terms: 16n + -6n = 10n -16 + 10n = -36 + 6n + -6n Combine like terms: 6n + -6n = 0 -16 + 10n = -36 + 0 -16 + 10n = -36 Add '16' to each side of the equation. -16 + 16 + 10n = -36 + 16 Combine like terms: -16 + 16 = 0 0 + 10n = -36 + 16 10n = -36 + 16 Combine like terms: -36 + 16 = -20 10n = -20 Divide each side by '10'. n = -2 Simplifying n = -2
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