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Simplifying 7(n + -4) = -21 + 6n Reorder the terms: 7(-4 + n) = -21 + 6n (-4 * 7 + n * 7) = -21 + 6n (-28 + 7n) = -21 + 6n Solving -28 + 7n = -21 + 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 = -21 + 6n + -6n Combine like terms: 7n + -6n = 1n -28 + 1n = -21 + 6n + -6n Combine like terms: 6n + -6n = 0 -28 + 1n = -21 + 0 -28 + 1n = -21 Add '28' to each side of the equation. -28 + 28 + 1n = -21 + 28 Combine like terms: -28 + 28 = 0 0 + 1n = -21 + 28 1n = -21 + 28 Combine like terms: -21 + 28 = 7 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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