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Simplifying 5(n + -6) = 4n + -2 Reorder the terms: 5(-6 + n) = 4n + -2 (-6 * 5 + n * 5) = 4n + -2 (-30 + 5n) = 4n + -2 Reorder the terms: -30 + 5n = -2 + 4n Solving -30 + 5n = -2 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -30 + 5n + -4n = -2 + 4n + -4n Combine like terms: 5n + -4n = 1n -30 + 1n = -2 + 4n + -4n Combine like terms: 4n + -4n = 0 -30 + 1n = -2 + 0 -30 + 1n = -2 Add '30' to each side of the equation. -30 + 30 + 1n = -2 + 30 Combine like terms: -30 + 30 = 0 0 + 1n = -2 + 30 1n = -2 + 30 Combine like terms: -2 + 30 = 28 1n = 28 Divide each side by '1'. n = 28 Simplifying n = 28
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