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Simplifying 138 = -1n + -7(-4 + -8n) 138 = -1n + (-4 * -7 + -8n * -7) 138 = -1n + (28 + 56n) Reorder the terms: 138 = 28 + -1n + 56n Combine like terms: -1n + 56n = 55n 138 = 28 + 55n Solving 138 = 28 + 55n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-55n' to each side of the equation. 138 + -55n = 28 + 55n + -55n Combine like terms: 55n + -55n = 0 138 + -55n = 28 + 0 138 + -55n = 28 Add '-138' to each side of the equation. 138 + -138 + -55n = 28 + -138 Combine like terms: 138 + -138 = 0 0 + -55n = 28 + -138 -55n = 28 + -138 Combine like terms: 28 + -138 = -110 -55n = -110 Divide each side by '-55'. n = 2 Simplifying n = 2
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