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Simplifying 56 = -4(-6 + 4n) + -8(n + 2) 56 = (-6 * -4 + 4n * -4) + -8(n + 2) 56 = (24 + -16n) + -8(n + 2) Reorder the terms: 56 = 24 + -16n + -8(2 + n) 56 = 24 + -16n + (2 * -8 + n * -8) 56 = 24 + -16n + (-16 + -8n) Reorder the terms: 56 = 24 + -16 + -16n + -8n Combine like terms: 24 + -16 = 8 56 = 8 + -16n + -8n Combine like terms: -16n + -8n = -24n 56 = 8 + -24n Solving 56 = 8 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 56 + 24n = 8 + -24n + 24n Combine like terms: -24n + 24n = 0 56 + 24n = 8 + 0 56 + 24n = 8 Add '-56' to each side of the equation. 56 + -56 + 24n = 8 + -56 Combine like terms: 56 + -56 = 0 0 + 24n = 8 + -56 24n = 8 + -56 Combine like terms: 8 + -56 = -48 24n = -48 Divide each side by '24'. n = -2 Simplifying n = -2
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