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Simplifying 7 = 4(n + -7) + 5(7n + 7) Reorder the terms: 7 = 4(-7 + n) + 5(7n + 7) 7 = (-7 * 4 + n * 4) + 5(7n + 7) 7 = (-28 + 4n) + 5(7n + 7) Reorder the terms: 7 = -28 + 4n + 5(7 + 7n) 7 = -28 + 4n + (7 * 5 + 7n * 5) 7 = -28 + 4n + (35 + 35n) Reorder the terms: 7 = -28 + 35 + 4n + 35n Combine like terms: -28 + 35 = 7 7 = 7 + 4n + 35n Combine like terms: 4n + 35n = 39n 7 = 7 + 39n Add '-7' to each side of the equation. 7 + -7 = 7 + -7 + 39n Combine like terms: 7 + -7 = 0 0 = 7 + -7 + 39n Combine like terms: 7 + -7 = 0 0 = 0 + 39n 0 = 39n Solving 0 = 39n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-39n' to each side of the equation. 0 + -39n = 39n + -39n Remove the zero: -39n = 39n + -39n Combine like terms: 39n + -39n = 0 -39n = 0 Divide each side by '-39'. n = 0 Simplifying n = 0
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