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Simplifying -5n + -4(8 + -1n) = 5n + -7(n + 4) -5n + (8 * -4 + -1n * -4) = 5n + -7(n + 4) -5n + (-32 + 4n) = 5n + -7(n + 4) Reorder the terms: -32 + -5n + 4n = 5n + -7(n + 4) Combine like terms: -5n + 4n = -1n -32 + -1n = 5n + -7(n + 4) Reorder the terms: -32 + -1n = 5n + -7(4 + n) -32 + -1n = 5n + (4 * -7 + n * -7) -32 + -1n = 5n + (-28 + -7n) Reorder the terms: -32 + -1n = -28 + 5n + -7n Combine like terms: 5n + -7n = -2n -32 + -1n = -28 + -2n Solving -32 + -1n = -28 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -32 + -1n + 2n = -28 + -2n + 2n Combine like terms: -1n + 2n = 1n -32 + 1n = -28 + -2n + 2n Combine like terms: -2n + 2n = 0 -32 + 1n = -28 + 0 -32 + 1n = -28 Add '32' to each side of the equation. -32 + 32 + 1n = -28 + 32 Combine like terms: -32 + 32 = 0 0 + 1n = -28 + 32 1n = -28 + 32 Combine like terms: -28 + 32 = 4 1n = 4 Divide each side by '1'. n = 4 Simplifying n = 4
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