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Simplifying 12(n + -4) + -5n = 10 + -3n Reorder the terms: 12(-4 + n) + -5n = 10 + -3n (-4 * 12 + n * 12) + -5n = 10 + -3n (-48 + 12n) + -5n = 10 + -3n Combine like terms: 12n + -5n = 7n -48 + 7n = 10 + -3n Solving -48 + 7n = 10 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -48 + 7n + 3n = 10 + -3n + 3n Combine like terms: 7n + 3n = 10n -48 + 10n = 10 + -3n + 3n Combine like terms: -3n + 3n = 0 -48 + 10n = 10 + 0 -48 + 10n = 10 Add '48' to each side of the equation. -48 + 48 + 10n = 10 + 48 Combine like terms: -48 + 48 = 0 0 + 10n = 10 + 48 10n = 10 + 48 Combine like terms: 10 + 48 = 58 10n = 58 Divide each side by '10'. n = 5.8 Simplifying n = 5.8
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