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Simplifying -8 + -6(6n + -7) = -2(-7 + 8n) Reorder the terms: -8 + -6(-7 + 6n) = -2(-7 + 8n) -8 + (-7 * -6 + 6n * -6) = -2(-7 + 8n) -8 + (42 + -36n) = -2(-7 + 8n) Combine like terms: -8 + 42 = 34 34 + -36n = -2(-7 + 8n) 34 + -36n = (-7 * -2 + 8n * -2) 34 + -36n = (14 + -16n) Solving 34 + -36n = 14 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. 34 + -36n + 16n = 14 + -16n + 16n Combine like terms: -36n + 16n = -20n 34 + -20n = 14 + -16n + 16n Combine like terms: -16n + 16n = 0 34 + -20n = 14 + 0 34 + -20n = 14 Add '-34' to each side of the equation. 34 + -34 + -20n = 14 + -34 Combine like terms: 34 + -34 = 0 0 + -20n = 14 + -34 -20n = 14 + -34 Combine like terms: 14 + -34 = -20 -20n = -20 Divide each side by '-20'. n = 1 Simplifying n = 1
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