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Simplifying -2(n + 6) + 3n = 30 + -5n Reorder the terms: -2(6 + n) + 3n = 30 + -5n (6 * -2 + n * -2) + 3n = 30 + -5n (-12 + -2n) + 3n = 30 + -5n Combine like terms: -2n + 3n = 1n -12 + 1n = 30 + -5n Solving -12 + 1n = 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. -12 + 1n + 5n = 30 + -5n + 5n Combine like terms: 1n + 5n = 6n -12 + 6n = 30 + -5n + 5n Combine like terms: -5n + 5n = 0 -12 + 6n = 30 + 0 -12 + 6n = 30 Add '12' to each side of the equation. -12 + 12 + 6n = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 6n = 30 + 12 6n = 30 + 12 Combine like terms: 30 + 12 = 42 6n = 42 Divide each side by '6'. n = 7 Simplifying n = 7
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