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Simplifying 4 + -4(2n + 5) = -4 + 10(1 + n) Reorder the terms: 4 + -4(5 + 2n) = -4 + 10(1 + n) 4 + (5 * -4 + 2n * -4) = -4 + 10(1 + n) 4 + (-20 + -8n) = -4 + 10(1 + n) Combine like terms: 4 + -20 = -16 -16 + -8n = -4 + 10(1 + n) -16 + -8n = -4 + (1 * 10 + n * 10) -16 + -8n = -4 + (10 + 10n) Combine like terms: -4 + 10 = 6 -16 + -8n = 6 + 10n Solving -16 + -8n = 6 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -16 + -8n + -10n = 6 + 10n + -10n Combine like terms: -8n + -10n = -18n -16 + -18n = 6 + 10n + -10n Combine like terms: 10n + -10n = 0 -16 + -18n = 6 + 0 -16 + -18n = 6 Add '16' to each side of the equation. -16 + 16 + -18n = 6 + 16 Combine like terms: -16 + 16 = 0 0 + -18n = 6 + 16 -18n = 6 + 16 Combine like terms: 6 + 16 = 22 -18n = 22 Divide each side by '-18'. n = -1.222222222 Simplifying n = -1.222222222
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