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Simplifying -6(3 + n) + -2(n + -3) = -5n + -1n (3 * -6 + n * -6) + -2(n + -3) = -5n + -1n (-18 + -6n) + -2(n + -3) = -5n + -1n Reorder the terms: -18 + -6n + -2(-3 + n) = -5n + -1n -18 + -6n + (-3 * -2 + n * -2) = -5n + -1n -18 + -6n + (6 + -2n) = -5n + -1n Reorder the terms: -18 + 6 + -6n + -2n = -5n + -1n Combine like terms: -18 + 6 = -12 -12 + -6n + -2n = -5n + -1n Combine like terms: -6n + -2n = -8n -12 + -8n = -5n + -1n Combine like terms: -5n + -1n = -6n -12 + -8n = -6n Solving -12 + -8n = -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. -12 + -8n + 6n = -6n + 6n Combine like terms: -8n + 6n = -2n -12 + -2n = -6n + 6n Combine like terms: -6n + 6n = 0 -12 + -2n = 0 Add '12' to each side of the equation. -12 + 12 + -2n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2n = 0 + 12 -2n = 0 + 12 Combine like terms: 0 + 12 = 12 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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