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Simplifying -8(1 + n) = -1(6n + -4) (1 * -8 + n * -8) = -1(6n + -4) (-8 + -8n) = -1(6n + -4) Reorder the terms: -8 + -8n = -1(-4 + 6n) -8 + -8n = (-4 * -1 + 6n * -1) -8 + -8n = (4 + -6n) Solving -8 + -8n = 4 + -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. -8 + -8n + 6n = 4 + -6n + 6n Combine like terms: -8n + 6n = -2n -8 + -2n = 4 + -6n + 6n Combine like terms: -6n + 6n = 0 -8 + -2n = 4 + 0 -8 + -2n = 4 Add '8' to each side of the equation. -8 + 8 + -2n = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -2n = 4 + 8 -2n = 4 + 8 Combine like terms: 4 + 8 = 12 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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