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Simplifying 4(7n + -7) = 36 + -4n Reorder the terms: 4(-7 + 7n) = 36 + -4n (-7 * 4 + 7n * 4) = 36 + -4n (-28 + 28n) = 36 + -4n Solving -28 + 28n = 36 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -28 + 28n + 4n = 36 + -4n + 4n Combine like terms: 28n + 4n = 32n -28 + 32n = 36 + -4n + 4n Combine like terms: -4n + 4n = 0 -28 + 32n = 36 + 0 -28 + 32n = 36 Add '28' to each side of the equation. -28 + 28 + 32n = 36 + 28 Combine like terms: -28 + 28 = 0 0 + 32n = 36 + 28 32n = 36 + 28 Combine like terms: 36 + 28 = 64 32n = 64 Divide each side by '32'. n = 2 Simplifying n = 2
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