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Simplifying -5n + -6(-4 + 7n) = 4(n + 6) -5n + (-4 * -6 + 7n * -6) = 4(n + 6) -5n + (24 + -42n) = 4(n + 6) Reorder the terms: 24 + -5n + -42n = 4(n + 6) Combine like terms: -5n + -42n = -47n 24 + -47n = 4(n + 6) Reorder the terms: 24 + -47n = 4(6 + n) 24 + -47n = (6 * 4 + n * 4) 24 + -47n = (24 + 4n) Add '-24' to each side of the equation. 24 + -24 + -47n = 24 + -24 + 4n Combine like terms: 24 + -24 = 0 0 + -47n = 24 + -24 + 4n -47n = 24 + -24 + 4n Combine like terms: 24 + -24 = 0 -47n = 0 + 4n -47n = 4n Solving -47n = 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -47n + -4n = 4n + -4n Combine like terms: -47n + -4n = -51n -51n = 4n + -4n Combine like terms: 4n + -4n = 0 -51n = 0 Divide each side by '-51'. n = 0 Simplifying n = 0
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