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Simplifying 3(-4 + 6n) + 5n = 36 + -1n (-4 * 3 + 6n * 3) + 5n = 36 + -1n (-12 + 18n) + 5n = 36 + -1n Combine like terms: 18n + 5n = 23n -12 + 23n = 36 + -1n Solving -12 + 23n = 36 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -12 + 23n + n = 36 + -1n + n Combine like terms: 23n + n = 24n -12 + 24n = 36 + -1n + n Combine like terms: -1n + n = 0 -12 + 24n = 36 + 0 -12 + 24n = 36 Add '12' to each side of the equation. -12 + 12 + 24n = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 24n = 36 + 12 24n = 36 + 12 Combine like terms: 36 + 12 = 48 24n = 48 Divide each side by '24'. n = 2 Simplifying n = 2
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