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Simplifying 2 + 6(-8n + -7) = 3 + -5n Reorder the terms: 2 + 6(-7 + -8n) = 3 + -5n 2 + (-7 * 6 + -8n * 6) = 3 + -5n 2 + (-42 + -48n) = 3 + -5n Combine like terms: 2 + -42 = -40 -40 + -48n = 3 + -5n Solving -40 + -48n = 3 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -40 + -48n + 5n = 3 + -5n + 5n Combine like terms: -48n + 5n = -43n -40 + -43n = 3 + -5n + 5n Combine like terms: -5n + 5n = 0 -40 + -43n = 3 + 0 -40 + -43n = 3 Add '40' to each side of the equation. -40 + 40 + -43n = 3 + 40 Combine like terms: -40 + 40 = 0 0 + -43n = 3 + 40 -43n = 3 + 40 Combine like terms: 3 + 40 = 43 -43n = 43 Divide each side by '-43'. n = -1 Simplifying n = -1
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