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Simplifying -4(n + 7) + -1(8 + -6n) = n Reorder the terms: -4(7 + n) + -1(8 + -6n) = n (7 * -4 + n * -4) + -1(8 + -6n) = n (-28 + -4n) + -1(8 + -6n) = n -28 + -4n + (8 * -1 + -6n * -1) = n -28 + -4n + (-8 + 6n) = n Reorder the terms: -28 + -8 + -4n + 6n = n Combine like terms: -28 + -8 = -36 -36 + -4n + 6n = n Combine like terms: -4n + 6n = 2n -36 + 2n = n Solving -36 + 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. -36 + 2n + -1n = n + -1n Combine like terms: 2n + -1n = 1n -36 + 1n = n + -1n Combine like terms: n + -1n = 0 -36 + 1n = 0 Add '36' to each side of the equation. -36 + 36 + 1n = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 1n = 0 + 36 1n = 0 + 36 Combine like terms: 0 + 36 = 36 1n = 36 Divide each side by '1'. n = 36 Simplifying n = 36
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