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Simplifying 4(2n + 1.2) = 6(3n + -4) Reorder the terms: 4(1.2 + 2n) = 6(3n + -4) (1.2 * 4 + 2n * 4) = 6(3n + -4) (4.8 + 8n) = 6(3n + -4) Reorder the terms: 4.8 + 8n = 6(-4 + 3n) 4.8 + 8n = (-4 * 6 + 3n * 6) 4.8 + 8n = (-24 + 18n) Solving 4.8 + 8n = -24 + 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. 4.8 + 8n + -18n = -24 + 18n + -18n Combine like terms: 8n + -18n = -10n 4.8 + -10n = -24 + 18n + -18n Combine like terms: 18n + -18n = 0 4.8 + -10n = -24 + 0 4.8 + -10n = -24 Add '-4.8' to each side of the equation. 4.8 + -4.8 + -10n = -24 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -10n = -24 + -4.8 -10n = -24 + -4.8 Combine like terms: -24 + -4.8 = -28.8 -10n = -28.8 Divide each side by '-10'. n = 2.88 Simplifying n = 2.88
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