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Simplifying 5(-1n + -6) + -7(-1 + 7n) = -23 Reorder the terms: 5(-6 + -1n) + -7(-1 + 7n) = -23 (-6 * 5 + -1n * 5) + -7(-1 + 7n) = -23 (-30 + -5n) + -7(-1 + 7n) = -23 -30 + -5n + (-1 * -7 + 7n * -7) = -23 -30 + -5n + (7 + -49n) = -23 Reorder the terms: -30 + 7 + -5n + -49n = -23 Combine like terms: -30 + 7 = -23 -23 + -5n + -49n = -23 Combine like terms: -5n + -49n = -54n -23 + -54n = -23 Add '23' to each side of the equation. -23 + 23 + -54n = -23 + 23 Combine like terms: -23 + 23 = 0 0 + -54n = -23 + 23 -54n = -23 + 23 Combine like terms: -23 + 23 = 0 -54n = 0 Solving -54n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-54'. n = 0 Simplifying n = 0
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