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Simplifying -6(3n + -2) = 4(-3 + -2n) Reorder the terms: -6(-2 + 3n) = 4(-3 + -2n) (-2 * -6 + 3n * -6) = 4(-3 + -2n) (12 + -18n) = 4(-3 + -2n) 12 + -18n = (-3 * 4 + -2n * 4) 12 + -18n = (-12 + -8n) Solving 12 + -18n = -12 + -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. 12 + -18n + 8n = -12 + -8n + 8n Combine like terms: -18n + 8n = -10n 12 + -10n = -12 + -8n + 8n Combine like terms: -8n + 8n = 0 12 + -10n = -12 + 0 12 + -10n = -12 Add '-12' to each side of the equation. 12 + -12 + -10n = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -10n = -12 + -12 -10n = -12 + -12 Combine like terms: -12 + -12 = -24 -10n = -24 Divide each side by '-10'. n = 2.4 Simplifying n = 2.4
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