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Simplifying -5(2n + -3) + -2n = 51 Reorder the terms: -5(-3 + 2n) + -2n = 51 (-3 * -5 + 2n * -5) + -2n = 51 (15 + -10n) + -2n = 51 Combine like terms: -10n + -2n = -12n 15 + -12n = 51 Solving 15 + -12n = 51 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -12n = 51 + -15 Combine like terms: 15 + -15 = 0 0 + -12n = 51 + -15 -12n = 51 + -15 Combine like terms: 51 + -15 = 36 -12n = 36 Divide each side by '-12'. n = -3 Simplifying n = -3
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