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Simplifying -7(n + 3) = 6 + -6n Reorder the terms: -7(3 + n) = 6 + -6n (3 * -7 + n * -7) = 6 + -6n (-21 + -7n) = 6 + -6n Solving -21 + -7n = 6 + -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. -21 + -7n + 6n = 6 + -6n + 6n Combine like terms: -7n + 6n = -1n -21 + -1n = 6 + -6n + 6n Combine like terms: -6n + 6n = 0 -21 + -1n = 6 + 0 -21 + -1n = 6 Add '21' to each side of the equation. -21 + 21 + -1n = 6 + 21 Combine like terms: -21 + 21 = 0 0 + -1n = 6 + 21 -1n = 6 + 21 Combine like terms: 6 + 21 = 27 -1n = 27 Divide each side by '-1'. n = -27 Simplifying n = -27
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