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Simplifying -5(4 + -1n) + 6(1 + -2n) = 28 (4 * -5 + -1n * -5) + 6(1 + -2n) = 28 (-20 + 5n) + 6(1 + -2n) = 28 -20 + 5n + (1 * 6 + -2n * 6) = 28 -20 + 5n + (6 + -12n) = 28 Reorder the terms: -20 + 6 + 5n + -12n = 28 Combine like terms: -20 + 6 = -14 -14 + 5n + -12n = 28 Combine like terms: 5n + -12n = -7n -14 + -7n = 28 Solving -14 + -7n = 28 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -7n = 28 + 14 Combine like terms: -14 + 14 = 0 0 + -7n = 28 + 14 -7n = 28 + 14 Combine like terms: 28 + 14 = 42 -7n = 42 Divide each side by '-7'. n = -6 Simplifying n = -6
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