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Simplifying -2(5 + 2n) + 3n = -3n + -12 (5 * -2 + 2n * -2) + 3n = -3n + -12 (-10 + -4n) + 3n = -3n + -12 Combine like terms: -4n + 3n = -1n -10 + -1n = -3n + -12 Reorder the terms: -10 + -1n = -12 + -3n Solving -10 + -1n = -12 + -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. -10 + -1n + 3n = -12 + -3n + 3n Combine like terms: -1n + 3n = 2n -10 + 2n = -12 + -3n + 3n Combine like terms: -3n + 3n = 0 -10 + 2n = -12 + 0 -10 + 2n = -12 Add '10' to each side of the equation. -10 + 10 + 2n = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 2n = -12 + 10 2n = -12 + 10 Combine like terms: -12 + 10 = -2 2n = -2 Divide each side by '2'. n = -1 Simplifying n = -1
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