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Simplifying 6(n + -6) = 5n + -43 Reorder the terms: 6(-6 + n) = 5n + -43 (-6 * 6 + n * 6) = 5n + -43 (-36 + 6n) = 5n + -43 Reorder the terms: -36 + 6n = -43 + 5n Solving -36 + 6n = -43 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -36 + 6n + -5n = -43 + 5n + -5n Combine like terms: 6n + -5n = 1n -36 + 1n = -43 + 5n + -5n Combine like terms: 5n + -5n = 0 -36 + 1n = -43 + 0 -36 + 1n = -43 Add '36' to each side of the equation. -36 + 36 + 1n = -43 + 36 Combine like terms: -36 + 36 = 0 0 + 1n = -43 + 36 1n = -43 + 36 Combine like terms: -43 + 36 = -7 1n = -7 Divide each side by '1'. n = -7 Simplifying n = -7
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