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Simplifying -4(7n + -6) + -6 = -3(n + -6) Reorder the terms: -4(-6 + 7n) + -6 = -3(n + -6) (-6 * -4 + 7n * -4) + -6 = -3(n + -6) (24 + -28n) + -6 = -3(n + -6) Reorder the terms: 24 + -6 + -28n = -3(n + -6) Combine like terms: 24 + -6 = 18 18 + -28n = -3(n + -6) Reorder the terms: 18 + -28n = -3(-6 + n) 18 + -28n = (-6 * -3 + n * -3) 18 + -28n = (18 + -3n) Add '-18' to each side of the equation. 18 + -18 + -28n = 18 + -18 + -3n Combine like terms: 18 + -18 = 0 0 + -28n = 18 + -18 + -3n -28n = 18 + -18 + -3n Combine like terms: 18 + -18 = 0 -28n = 0 + -3n -28n = -3n Solving -28n = -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -28n + 3n = -3n + 3n Combine like terms: -28n + 3n = -25n -25n = -3n + 3n Combine like terms: -3n + 3n = 0 -25n = 0 Divide each side by '-25'. n = 0 Simplifying n = 0
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