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Simplifying 32 + n = 4(n + -7) + 7n Reorder the terms: 32 + n = 4(-7 + n) + 7n 32 + n = (-7 * 4 + n * 4) + 7n 32 + n = (-28 + 4n) + 7n Combine like terms: 4n + 7n = 11n 32 + n = -28 + 11n Solving 32 + n = -28 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 32 + n + -11n = -28 + 11n + -11n Combine like terms: n + -11n = -10n 32 + -10n = -28 + 11n + -11n Combine like terms: 11n + -11n = 0 32 + -10n = -28 + 0 32 + -10n = -28 Add '-32' to each side of the equation. 32 + -32 + -10n = -28 + -32 Combine like terms: 32 + -32 = 0 0 + -10n = -28 + -32 -10n = -28 + -32 Combine like terms: -28 + -32 = -60 -10n = -60 Divide each side by '-10'. n = 6 Simplifying n = 6
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