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Simplifying 5n + n + -6 = 5(n + -6) Reorder the terms: -6 + 5n + n = 5(n + -6) Combine like terms: 5n + n = 6n -6 + 6n = 5(n + -6) Reorder the terms: -6 + 6n = 5(-6 + n) -6 + 6n = (-6 * 5 + n * 5) -6 + 6n = (-30 + 5n) Solving -6 + 6n = -30 + 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. -6 + 6n + -5n = -30 + 5n + -5n Combine like terms: 6n + -5n = 1n -6 + 1n = -30 + 5n + -5n Combine like terms: 5n + -5n = 0 -6 + 1n = -30 + 0 -6 + 1n = -30 Add '6' to each side of the equation. -6 + 6 + 1n = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 1n = -30 + 6 1n = -30 + 6 Combine like terms: -30 + 6 = -24 1n = -24 Divide each side by '1'. n = -24 Simplifying n = -24
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