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Simplifying -2n + -40 = -3(6 + 8n) Reorder the terms: -40 + -2n = -3(6 + 8n) -40 + -2n = (6 * -3 + 8n * -3) -40 + -2n = (-18 + -24n) Solving -40 + -2n = -18 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -40 + -2n + 24n = -18 + -24n + 24n Combine like terms: -2n + 24n = 22n -40 + 22n = -18 + -24n + 24n Combine like terms: -24n + 24n = 0 -40 + 22n = -18 + 0 -40 + 22n = -18 Add '40' to each side of the equation. -40 + 40 + 22n = -18 + 40 Combine like terms: -40 + 40 = 0 0 + 22n = -18 + 40 22n = -18 + 40 Combine like terms: -18 + 40 = 22 22n = 22 Divide each side by '22'. n = 1 Simplifying n = 1
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