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Simplifying -116 = 6n + -8(2n + 7) Reorder the terms: -116 = 6n + -8(7 + 2n) -116 = 6n + (7 * -8 + 2n * -8) -116 = 6n + (-56 + -16n) Reorder the terms: -116 = -56 + 6n + -16n Combine like terms: 6n + -16n = -10n -116 = -56 + -10n Solving -116 = -56 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -116 + 10n = -56 + -10n + 10n Combine like terms: -10n + 10n = 0 -116 + 10n = -56 + 0 -116 + 10n = -56 Add '116' to each side of the equation. -116 + 116 + 10n = -56 + 116 Combine like terms: -116 + 116 = 0 0 + 10n = -56 + 116 10n = -56 + 116 Combine like terms: -56 + 116 = 60 10n = 60 Divide each side by '10'. n = 6 Simplifying n = 6
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