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Simplifying -5(n + 2) = 2(2n + -15) + n Reorder the terms: -5(2 + n) = 2(2n + -15) + n (2 * -5 + n * -5) = 2(2n + -15) + n (-10 + -5n) = 2(2n + -15) + n Reorder the terms: -10 + -5n = 2(-15 + 2n) + n -10 + -5n = (-15 * 2 + 2n * 2) + n -10 + -5n = (-30 + 4n) + n Combine like terms: 4n + n = 5n -10 + -5n = -30 + 5n Solving -10 + -5n = -30 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -10 + -5n + -5n = -30 + 5n + -5n Combine like terms: -5n + -5n = -10n -10 + -10n = -30 + 5n + -5n Combine like terms: 5n + -5n = 0 -10 + -10n = -30 + 0 -10 + -10n = -30 Add '10' to each side of the equation. -10 + 10 + -10n = -30 + 10 Combine like terms: -10 + 10 = 0 0 + -10n = -30 + 10 -10n = -30 + 10 Combine like terms: -30 + 10 = -20 -10n = -20 Divide each side by '-10'. n = 2 Simplifying n = 2
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