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Simplifying 4 + -5(-2 + 2n) = -8(n + 2) 4 + (-2 * -5 + 2n * -5) = -8(n + 2) 4 + (10 + -10n) = -8(n + 2) Combine like terms: 4 + 10 = 14 14 + -10n = -8(n + 2) Reorder the terms: 14 + -10n = -8(2 + n) 14 + -10n = (2 * -8 + n * -8) 14 + -10n = (-16 + -8n) Solving 14 + -10n = -16 + -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. 14 + -10n + 8n = -16 + -8n + 8n Combine like terms: -10n + 8n = -2n 14 + -2n = -16 + -8n + 8n Combine like terms: -8n + 8n = 0 14 + -2n = -16 + 0 14 + -2n = -16 Add '-14' to each side of the equation. 14 + -14 + -2n = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -2n = -16 + -14 -2n = -16 + -14 Combine like terms: -16 + -14 = -30 -2n = -30 Divide each side by '-2'. n = 15 Simplifying n = 15
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