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Simplifying -10n + 3(8 + 8x) = -6(x + -4) -10n + (8 * 3 + 8x * 3) = -6(x + -4) -10n + (24 + 24x) = -6(x + -4) Reorder the terms: 24 + -10n + 24x = -6(x + -4) Reorder the terms: 24 + -10n + 24x = -6(-4 + x) 24 + -10n + 24x = (-4 * -6 + x * -6) 24 + -10n + 24x = (24 + -6x) Add '-24' to each side of the equation. 24 + -10n + -24 + 24x = 24 + -24 + -6x Reorder the terms: 24 + -24 + -10n + 24x = 24 + -24 + -6x Combine like terms: 24 + -24 = 0 0 + -10n + 24x = 24 + -24 + -6x -10n + 24x = 24 + -24 + -6x Combine like terms: 24 + -24 = 0 -10n + 24x = 0 + -6x -10n + 24x = -6x Solving -10n + 24x = -6x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24x' to each side of the equation. -10n + 24x + -24x = -6x + -24x Combine like terms: 24x + -24x = 0 -10n + 0 = -6x + -24x -10n = -6x + -24x Combine like terms: -6x + -24x = -30x -10n = -30x Divide each side by '-10'. n = 3x Simplifying n = 3x
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