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Simplifying N + -4 + 10n + -6 = -8(n + -8) + 4(1 + -5n) Reorder the terms: -4 + -6 + N + 10n = -8(n + -8) + 4(1 + -5n) Combine like terms: -4 + -6 = -10 -10 + N + 10n = -8(n + -8) + 4(1 + -5n) Reorder the terms: -10 + N + 10n = -8(-8 + n) + 4(1 + -5n) -10 + N + 10n = (-8 * -8 + n * -8) + 4(1 + -5n) -10 + N + 10n = (64 + -8n) + 4(1 + -5n) -10 + N + 10n = 64 + -8n + (1 * 4 + -5n * 4) -10 + N + 10n = 64 + -8n + (4 + -20n) Reorder the terms: -10 + N + 10n = 64 + 4 + -8n + -20n Combine like terms: 64 + 4 = 68 -10 + N + 10n = 68 + -8n + -20n Combine like terms: -8n + -20n = -28n -10 + N + 10n = 68 + -28n Solving -10 + N + 10n = 68 + -28n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '10' to each side of the equation. -10 + N + 10 + 10n = 68 + 10 + -28n Reorder the terms: -10 + 10 + N + 10n = 68 + 10 + -28n Combine like terms: -10 + 10 = 0 0 + N + 10n = 68 + 10 + -28n N + 10n = 68 + 10 + -28n Combine like terms: 68 + 10 = 78 N + 10n = 78 + -28n Add '-10n' to each side of the equation. N + 10n + -10n = 78 + -28n + -10n Combine like terms: 10n + -10n = 0 N + 0 = 78 + -28n + -10n N = 78 + -28n + -10n Combine like terms: -28n + -10n = -38n N = 78 + -38n Simplifying N = 78 + -38n
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