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Simplifying -6(n + 3) = 4n + -8(n + -1) Reorder the terms: -6(3 + n) = 4n + -8(n + -1) (3 * -6 + n * -6) = 4n + -8(n + -1) (-18 + -6n) = 4n + -8(n + -1) Reorder the terms: -18 + -6n = 4n + -8(-1 + n) -18 + -6n = 4n + (-1 * -8 + n * -8) -18 + -6n = 4n + (8 + -8n) Reorder the terms: -18 + -6n = 8 + 4n + -8n Combine like terms: 4n + -8n = -4n -18 + -6n = 8 + -4n Solving -18 + -6n = 8 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -18 + -6n + 4n = 8 + -4n + 4n Combine like terms: -6n + 4n = -2n -18 + -2n = 8 + -4n + 4n Combine like terms: -4n + 4n = 0 -18 + -2n = 8 + 0 -18 + -2n = 8 Add '18' to each side of the equation. -18 + 18 + -2n = 8 + 18 Combine like terms: -18 + 18 = 0 0 + -2n = 8 + 18 -2n = 8 + 18 Combine like terms: 8 + 18 = 26 -2n = 26 Divide each side by '-2'. n = -13 Simplifying n = -13
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