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Simplifying -14 = -7(-8 + -6n) + -7(-4 + -8n) -14 = (-8 * -7 + -6n * -7) + -7(-4 + -8n) -14 = (56 + 42n) + -7(-4 + -8n) -14 = 56 + 42n + (-4 * -7 + -8n * -7) -14 = 56 + 42n + (28 + 56n) Reorder the terms: -14 = 56 + 28 + 42n + 56n Combine like terms: 56 + 28 = 84 -14 = 84 + 42n + 56n Combine like terms: 42n + 56n = 98n -14 = 84 + 98n Solving -14 = 84 + 98n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-98n' to each side of the equation. -14 + -98n = 84 + 98n + -98n Combine like terms: 98n + -98n = 0 -14 + -98n = 84 + 0 -14 + -98n = 84 Add '14' to each side of the equation. -14 + 14 + -98n = 84 + 14 Combine like terms: -14 + 14 = 0 0 + -98n = 84 + 14 -98n = 84 + 14 Combine like terms: 84 + 14 = 98 -98n = 98 Divide each side by '-98'. n = -1 Simplifying n = -1
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