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Simplifying -6 + 7n = 6 + -6(2 + 8n) -6 + 7n = 6 + (2 * -6 + 8n * -6) -6 + 7n = 6 + (-12 + -48n) Combine like terms: 6 + -12 = -6 -6 + 7n = -6 + -48n Add '6' to each side of the equation. -6 + 6 + 7n = -6 + 6 + -48n Combine like terms: -6 + 6 = 0 0 + 7n = -6 + 6 + -48n 7n = -6 + 6 + -48n Combine like terms: -6 + 6 = 0 7n = 0 + -48n 7n = -48n Solving 7n = -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. 7n + 48n = -48n + 48n Combine like terms: 7n + 48n = 55n 55n = -48n + 48n Combine like terms: -48n + 48n = 0 55n = 0 Divide each side by '55'. n = 0 Simplifying n = 0
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