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Simplifying -2(3n + -5) + 3n = 2 + -1n Reorder the terms: -2(-5 + 3n) + 3n = 2 + -1n (-5 * -2 + 3n * -2) + 3n = 2 + -1n (10 + -6n) + 3n = 2 + -1n Combine like terms: -6n + 3n = -3n 10 + -3n = 2 + -1n Solving 10 + -3n = 2 + -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. 10 + -3n + n = 2 + -1n + n Combine like terms: -3n + n = -2n 10 + -2n = 2 + -1n + n Combine like terms: -1n + n = 0 10 + -2n = 2 + 0 10 + -2n = 2 Add '-10' to each side of the equation. 10 + -10 + -2n = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = 2 + -10 -2n = 2 + -10 Combine like terms: 2 + -10 = -8 -2n = -8 Divide each side by '-2'. n = 4 Simplifying n = 4
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