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Simplifying 44 + -10n = 6(-3n + 2) Reorder the terms: 44 + -10n = 6(2 + -3n) 44 + -10n = (2 * 6 + -3n * 6) 44 + -10n = (12 + -18n) Solving 44 + -10n = 12 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. 44 + -10n + 18n = 12 + -18n + 18n Combine like terms: -10n + 18n = 8n 44 + 8n = 12 + -18n + 18n Combine like terms: -18n + 18n = 0 44 + 8n = 12 + 0 44 + 8n = 12 Add '-44' to each side of the equation. 44 + -44 + 8n = 12 + -44 Combine like terms: 44 + -44 = 0 0 + 8n = 12 + -44 8n = 12 + -44 Combine like terms: 12 + -44 = -32 8n = -32 Divide each side by '8'. n = -4 Simplifying n = -4
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