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Simplifying -5 + -8n = 5 + -2(n + -7) Reorder the terms: -5 + -8n = 5 + -2(-7 + n) -5 + -8n = 5 + (-7 * -2 + n * -2) -5 + -8n = 5 + (14 + -2n) Combine like terms: 5 + 14 = 19 -5 + -8n = 19 + -2n Solving -5 + -8n = 19 + -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. -5 + -8n + 2n = 19 + -2n + 2n Combine like terms: -8n + 2n = -6n -5 + -6n = 19 + -2n + 2n Combine like terms: -2n + 2n = 0 -5 + -6n = 19 + 0 -5 + -6n = 19 Add '5' to each side of the equation. -5 + 5 + -6n = 19 + 5 Combine like terms: -5 + 5 = 0 0 + -6n = 19 + 5 -6n = 19 + 5 Combine like terms: 19 + 5 = 24 -6n = 24 Divide each side by '-6'. n = -4 Simplifying n = -4
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