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Simplifying -118 = -1n + -6(4n + 3) Reorder the terms: -118 = -1n + -6(3 + 4n) -118 = -1n + (3 * -6 + 4n * -6) -118 = -1n + (-18 + -24n) Reorder the terms: -118 = -18 + -1n + -24n Combine like terms: -1n + -24n = -25n -118 = -18 + -25n Solving -118 = -18 + -25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25n' to each side of the equation. -118 + 25n = -18 + -25n + 25n Combine like terms: -25n + 25n = 0 -118 + 25n = -18 + 0 -118 + 25n = -18 Add '118' to each side of the equation. -118 + 118 + 25n = -18 + 118 Combine like terms: -118 + 118 = 0 0 + 25n = -18 + 118 25n = -18 + 118 Combine like terms: -18 + 118 = 100 25n = 100 Divide each side by '25'. n = 4 Simplifying n = 4
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