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Simplifying 5(n + -7) + -1(3n + -7) = n Reorder the terms: 5(-7 + n) + -1(3n + -7) = n (-7 * 5 + n * 5) + -1(3n + -7) = n (-35 + 5n) + -1(3n + -7) = n Reorder the terms: -35 + 5n + -1(-7 + 3n) = n -35 + 5n + (-7 * -1 + 3n * -1) = n -35 + 5n + (7 + -3n) = n Reorder the terms: -35 + 7 + 5n + -3n = n Combine like terms: -35 + 7 = -28 -28 + 5n + -3n = n Combine like terms: 5n + -3n = 2n -28 + 2n = n Solving -28 + 2n = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -28 + 2n + -1n = n + -1n Combine like terms: 2n + -1n = 1n -28 + 1n = n + -1n Combine like terms: n + -1n = 0 -28 + 1n = 0 Add '28' to each side of the equation. -28 + 28 + 1n = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 1n = 0 + 28 1n = 0 + 28 Combine like terms: 0 + 28 = 28 1n = 28 Divide each side by '1'. n = 28 Simplifying n = 28
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