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Simplifying 2(n + -1) = -6(n + 7) Reorder the terms: 2(-1 + n) = -6(n + 7) (-1 * 2 + n * 2) = -6(n + 7) (-2 + 2n) = -6(n + 7) Reorder the terms: -2 + 2n = -6(7 + n) -2 + 2n = (7 * -6 + n * -6) -2 + 2n = (-42 + -6n) Solving -2 + 2n = -42 + -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. -2 + 2n + 6n = -42 + -6n + 6n Combine like terms: 2n + 6n = 8n -2 + 8n = -42 + -6n + 6n Combine like terms: -6n + 6n = 0 -2 + 8n = -42 + 0 -2 + 8n = -42 Add '2' to each side of the equation. -2 + 2 + 8n = -42 + 2 Combine like terms: -2 + 2 = 0 0 + 8n = -42 + 2 8n = -42 + 2 Combine like terms: -42 + 2 = -40 8n = -40 Divide each side by '8'. n = -5 Simplifying n = -5
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