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Simplifying 4(4n + -7) = 32 + 6n Reorder the terms: 4(-7 + 4n) = 32 + 6n (-7 * 4 + 4n * 4) = 32 + 6n (-28 + 16n) = 32 + 6n Solving -28 + 16n = 32 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -28 + 16n + -6n = 32 + 6n + -6n Combine like terms: 16n + -6n = 10n -28 + 10n = 32 + 6n + -6n Combine like terms: 6n + -6n = 0 -28 + 10n = 32 + 0 -28 + 10n = 32 Add '28' to each side of the equation. -28 + 28 + 10n = 32 + 28 Combine like terms: -28 + 28 = 0 0 + 10n = 32 + 28 10n = 32 + 28 Combine like terms: 32 + 28 = 60 10n = 60 Divide each side by '10'. n = 6 Simplifying n = 6
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