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Simplifying -7(n + -4) = 5 + -6n Reorder the terms: -7(-4 + n) = 5 + -6n (-4 * -7 + n * -7) = 5 + -6n (28 + -7n) = 5 + -6n Solving 28 + -7n = 5 + -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 = 5 + -6n + 6n Combine like terms: -7n + 6n = -1n 28 + -1n = 5 + -6n + 6n Combine like terms: -6n + 6n = 0 28 + -1n = 5 + 0 28 + -1n = 5 Add '-28' to each side of the equation. 28 + -28 + -1n = 5 + -28 Combine like terms: 28 + -28 = 0 0 + -1n = 5 + -28 -1n = 5 + -28 Combine like terms: 5 + -28 = -23 -1n = -23 Divide each side by '-1'. n = 23 Simplifying n = 23
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