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