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Simplifying -5n + -24 = -2(n + 3) + 3n Reorder the terms: -24 + -5n = -2(n + 3) + 3n Reorder the terms: -24 + -5n = -2(3 + n) + 3n -24 + -5n = (3 * -2 + n * -2) + 3n -24 + -5n = (-6 + -2n) + 3n Combine like terms: -2n + 3n = 1n -24 + -5n = -6 + 1n Solving -24 + -5n = -6 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -24 + -5n + -1n = -6 + 1n + -1n Combine like terms: -5n + -1n = -6n -24 + -6n = -6 + 1n + -1n Combine like terms: 1n + -1n = 0 -24 + -6n = -6 + 0 -24 + -6n = -6 Add '24' to each side of the equation. -24 + 24 + -6n = -6 + 24 Combine like terms: -24 + 24 = 0 0 + -6n = -6 + 24 -6n = -6 + 24 Combine like terms: -6 + 24 = 18 -6n = 18 Divide each side by '-6'. n = -3 Simplifying n = -3
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