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Simplifying -7 + 6n + 6n + 3 = -5(8 + -2n) + -2(n + 8) Reorder the terms: -7 + 3 + 6n + 6n = -5(8 + -2n) + -2(n + 8) Combine like terms: -7 + 3 = -4 -4 + 6n + 6n = -5(8 + -2n) + -2(n + 8) Combine like terms: 6n + 6n = 12n -4 + 12n = -5(8 + -2n) + -2(n + 8) -4 + 12n = (8 * -5 + -2n * -5) + -2(n + 8) -4 + 12n = (-40 + 10n) + -2(n + 8) Reorder the terms: -4 + 12n = -40 + 10n + -2(8 + n) -4 + 12n = -40 + 10n + (8 * -2 + n * -2) -4 + 12n = -40 + 10n + (-16 + -2n) Reorder the terms: -4 + 12n = -40 + -16 + 10n + -2n Combine like terms: -40 + -16 = -56 -4 + 12n = -56 + 10n + -2n Combine like terms: 10n + -2n = 8n -4 + 12n = -56 + 8n Solving -4 + 12n = -56 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -4 + 12n + -8n = -56 + 8n + -8n Combine like terms: 12n + -8n = 4n -4 + 4n = -56 + 8n + -8n Combine like terms: 8n + -8n = 0 -4 + 4n = -56 + 0 -4 + 4n = -56 Add '4' to each side of the equation. -4 + 4 + 4n = -56 + 4 Combine like terms: -4 + 4 = 0 0 + 4n = -56 + 4 4n = -56 + 4 Combine like terms: -56 + 4 = -52 4n = -52 Divide each side by '4'. n = -13 Simplifying n = -13
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