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Simplifying -192 = -6 + -6(4n + 3) Reorder the terms: -192 = -6 + -6(3 + 4n) -192 = -6 + (3 * -6 + 4n * -6) -192 = -6 + (-18 + -24n) Combine like terms: -6 + -18 = -24 -192 = -24 + -24n Solving -192 = -24 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -192 + 24n = -24 + -24n + 24n Combine like terms: -24n + 24n = 0 -192 + 24n = -24 + 0 -192 + 24n = -24 Add '192' to each side of the equation. -192 + 192 + 24n = -24 + 192 Combine like terms: -192 + 192 = 0 0 + 24n = -24 + 192 24n = -24 + 192 Combine like terms: -24 + 192 = 168 24n = 168 Divide each side by '24'. n = 7 Simplifying n = 7
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