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Simplifying -3(n + 5) = 2 + -2n Reorder the terms: -3(5 + n) = 2 + -2n (5 * -3 + n * -3) = 2 + -2n (-15 + -3n) = 2 + -2n Solving -15 + -3n = 2 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -15 + -3n + 2n = 2 + -2n + 2n Combine like terms: -3n + 2n = -1n -15 + -1n = 2 + -2n + 2n Combine like terms: -2n + 2n = 0 -15 + -1n = 2 + 0 -15 + -1n = 2 Add '15' to each side of the equation. -15 + 15 + -1n = 2 + 15 Combine like terms: -15 + 15 = 0 0 + -1n = 2 + 15 -1n = 2 + 15 Combine like terms: 2 + 15 = 17 -1n = 17 Divide each side by '-1'. n = -17 Simplifying n = -17
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