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Simplifying 3n + -5 + 2n + 12 = -3(4x + -6) Reorder the terms: -5 + 12 + 3n + 2n = -3(4x + -6) Combine like terms: -5 + 12 = 7 7 + 3n + 2n = -3(4x + -6) Combine like terms: 3n + 2n = 5n 7 + 5n = -3(4x + -6) Reorder the terms: 7 + 5n = -3(-6 + 4x) 7 + 5n = (-6 * -3 + 4x * -3) 7 + 5n = (18 + -12x) Solving 7 + 5n = 18 + -12x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5n = 18 + -7 + -12x Combine like terms: 7 + -7 = 0 0 + 5n = 18 + -7 + -12x 5n = 18 + -7 + -12x Combine like terms: 18 + -7 = 11 5n = 11 + -12x Divide each side by '5'. n = 2.2 + -2.4x Simplifying n = 2.2 + -2.4x
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