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Simplifying -10n + 3(8 + n) = -6(n + -4) -10n + (8 * 3 + n * 3) = -6(n + -4) -10n + (24 + 3n) = -6(n + -4) Reorder the terms: 24 + -10n + 3n = -6(n + -4) Combine like terms: -10n + 3n = -7n 24 + -7n = -6(n + -4) Reorder the terms: 24 + -7n = -6(-4 + n) 24 + -7n = (-4 * -6 + n * -6) 24 + -7n = (24 + -6n) Add '-24' to each side of the equation. 24 + -24 + -7n = 24 + -24 + -6n Combine like terms: 24 + -24 = 0 0 + -7n = 24 + -24 + -6n -7n = 24 + -24 + -6n Combine like terms: 24 + -24 = 0 -7n = 0 + -6n -7n = -6n Solving -7n = -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -7n + 6n = -6n + 6n Combine like terms: -7n + 6n = -1n -1n = -6n + 6n Combine like terms: -6n + 6n = 0 -1n = 0 Divide each side by '-1'. n = 0 Simplifying n = 0
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