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Simplifying 4(6n + -6) + 7(n + -1) = 0 Reorder the terms: 4(-6 + 6n) + 7(n + -1) = 0 (-6 * 4 + 6n * 4) + 7(n + -1) = 0 (-24 + 24n) + 7(n + -1) = 0 Reorder the terms: -24 + 24n + 7(-1 + n) = 0 -24 + 24n + (-1 * 7 + n * 7) = 0 -24 + 24n + (-7 + 7n) = 0 Reorder the terms: -24 + -7 + 24n + 7n = 0 Combine like terms: -24 + -7 = -31 -31 + 24n + 7n = 0 Combine like terms: 24n + 7n = 31n -31 + 31n = 0 Solving -31 + 31n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 31n = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 31n = 0 + 31 31n = 0 + 31 Combine like terms: 0 + 31 = 31 31n = 31 Divide each side by '31'. n = 1 Simplifying n = 1
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