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Simplifying -4 + -8n = 7(n + -7) Reorder the terms: -4 + -8n = 7(-7 + n) -4 + -8n = (-7 * 7 + n * 7) -4 + -8n = (-49 + 7n) Solving -4 + -8n = -49 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -4 + -8n + -7n = -49 + 7n + -7n Combine like terms: -8n + -7n = -15n -4 + -15n = -49 + 7n + -7n Combine like terms: 7n + -7n = 0 -4 + -15n = -49 + 0 -4 + -15n = -49 Add '4' to each side of the equation. -4 + 4 + -15n = -49 + 4 Combine like terms: -4 + 4 = 0 0 + -15n = -49 + 4 -15n = -49 + 4 Combine like terms: -49 + 4 = -45 -15n = -45 Divide each side by '-15'. n = 3 Simplifying n = 3
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