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Simplifying 2(12 + 6) + 2n = 3n + -6 Combine like terms: 12 + 6 = 18 2(18) + 2n = 3n + -6 Multiply 2 * 18 36 + 2n = 3n + -6 Reorder the terms: 36 + 2n = -6 + 3n Solving 36 + 2n = -6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 36 + 2n + -3n = -6 + 3n + -3n Combine like terms: 2n + -3n = -1n 36 + -1n = -6 + 3n + -3n Combine like terms: 3n + -3n = 0 36 + -1n = -6 + 0 36 + -1n = -6 Add '-36' to each side of the equation. 36 + -36 + -1n = -6 + -36 Combine like terms: 36 + -36 = 0 0 + -1n = -6 + -36 -1n = -6 + -36 Combine like terms: -6 + -36 = -42 -1n = -42 Divide each side by '-1'. n = 42 Simplifying n = 42
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