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Simplifying 4(n + -7) + -5(2n + 4) = 12n + -10n Reorder the terms: 4(-7 + n) + -5(2n + 4) = 12n + -10n (-7 * 4 + n * 4) + -5(2n + 4) = 12n + -10n (-28 + 4n) + -5(2n + 4) = 12n + -10n Reorder the terms: -28 + 4n + -5(4 + 2n) = 12n + -10n -28 + 4n + (4 * -5 + 2n * -5) = 12n + -10n -28 + 4n + (-20 + -10n) = 12n + -10n Reorder the terms: -28 + -20 + 4n + -10n = 12n + -10n Combine like terms: -28 + -20 = -48 -48 + 4n + -10n = 12n + -10n Combine like terms: 4n + -10n = -6n -48 + -6n = 12n + -10n Combine like terms: 12n + -10n = 2n -48 + -6n = 2n Solving -48 + -6n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -48 + -6n + -2n = 2n + -2n Combine like terms: -6n + -2n = -8n -48 + -8n = 2n + -2n Combine like terms: 2n + -2n = 0 -48 + -8n = 0 Add '48' to each side of the equation. -48 + 48 + -8n = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -8n = 0 + 48 -8n = 0 + 48 Combine like terms: 0 + 48 = 48 -8n = 48 Divide each side by '-8'. n = -6 Simplifying n = -6
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