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Simplifying -6 + 7(n + -3) = -23 + 6n Reorder the terms: -6 + 7(-3 + n) = -23 + 6n -6 + (-3 * 7 + n * 7) = -23 + 6n -6 + (-21 + 7n) = -23 + 6n Combine like terms: -6 + -21 = -27 -27 + 7n = -23 + 6n Solving -27 + 7n = -23 + 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. -27 + 7n + -6n = -23 + 6n + -6n Combine like terms: 7n + -6n = 1n -27 + 1n = -23 + 6n + -6n Combine like terms: 6n + -6n = 0 -27 + 1n = -23 + 0 -27 + 1n = -23 Add '27' to each side of the equation. -27 + 27 + 1n = -23 + 27 Combine like terms: -27 + 27 = 0 0 + 1n = -23 + 27 1n = -23 + 27 Combine like terms: -23 + 27 = 4 1n = 4 Divide each side by '1'. n = 4 Simplifying n = 4
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