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Simplifying -7(n + 4) = 4 + -6n Reorder the terms: -7(4 + n) = 4 + -6n (4 * -7 + n * -7) = 4 + -6n (-28 + -7n) = 4 + -6n Solving -28 + -7n = 4 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -28 + -7n + 6n = 4 + -6n + 6n Combine like terms: -7n + 6n = -1n -28 + -1n = 4 + -6n + 6n Combine like terms: -6n + 6n = 0 -28 + -1n = 4 + 0 -28 + -1n = 4 Add '28' to each side of the equation. -28 + 28 + -1n = 4 + 28 Combine like terms: -28 + 28 = 0 0 + -1n = 4 + 28 -1n = 4 + 28 Combine like terms: 4 + 28 = 32 -1n = 32 Divide each side by '-1'. n = -32 Simplifying n = -32
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