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Simplifying 3(5n + -2) + 4n = -24 + n Reorder the terms: 3(-2 + 5n) + 4n = -24 + n (-2 * 3 + 5n * 3) + 4n = -24 + n (-6 + 15n) + 4n = -24 + n Combine like terms: 15n + 4n = 19n -6 + 19n = -24 + n Solving -6 + 19n = -24 + n 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. -6 + 19n + -1n = -24 + n + -1n Combine like terms: 19n + -1n = 18n -6 + 18n = -24 + n + -1n Combine like terms: n + -1n = 0 -6 + 18n = -24 + 0 -6 + 18n = -24 Add '6' to each side of the equation. -6 + 6 + 18n = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 18n = -24 + 6 18n = -24 + 6 Combine like terms: -24 + 6 = -18 18n = -18 Divide each side by '18'. n = -1 Simplifying n = -1
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