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Simplifying 5(n + -3) = -36 + 2n Reorder the terms: 5(-3 + n) = -36 + 2n (-3 * 5 + n * 5) = -36 + 2n (-15 + 5n) = -36 + 2n Solving -15 + 5n = -36 + 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 + 5n + -2n = -36 + 2n + -2n Combine like terms: 5n + -2n = 3n -15 + 3n = -36 + 2n + -2n Combine like terms: 2n + -2n = 0 -15 + 3n = -36 + 0 -15 + 3n = -36 Add '15' to each side of the equation. -15 + 15 + 3n = -36 + 15 Combine like terms: -15 + 15 = 0 0 + 3n = -36 + 15 3n = -36 + 15 Combine like terms: -36 + 15 = -21 3n = -21 Divide each side by '3'. n = -7 Simplifying n = -7
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