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Simplifying 7(4n + -2) + -8 = 118 Reorder the terms: 7(-2 + 4n) + -8 = 118 (-2 * 7 + 4n * 7) + -8 = 118 (-14 + 28n) + -8 = 118 Reorder the terms: -14 + -8 + 28n = 118 Combine like terms: -14 + -8 = -22 -22 + 28n = 118 Solving -22 + 28n = 118 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 28n = 118 + 22 Combine like terms: -22 + 22 = 0 0 + 28n = 118 + 22 28n = 118 + 22 Combine like terms: 118 + 22 = 140 28n = 140 Divide each side by '28'. n = 5 Simplifying n = 5
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