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Simplifying -18 + 6(-19n + -18) = 6(-17n + -7) Reorder the terms: -18 + 6(-18 + -19n) = 6(-17n + -7) -18 + (-18 * 6 + -19n * 6) = 6(-17n + -7) -18 + (-108 + -114n) = 6(-17n + -7) Combine like terms: -18 + -108 = -126 -126 + -114n = 6(-17n + -7) Reorder the terms: -126 + -114n = 6(-7 + -17n) -126 + -114n = (-7 * 6 + -17n * 6) -126 + -114n = (-42 + -102n) Solving -126 + -114n = -42 + -102n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '102n' to each side of the equation. -126 + -114n + 102n = -42 + -102n + 102n Combine like terms: -114n + 102n = -12n -126 + -12n = -42 + -102n + 102n Combine like terms: -102n + 102n = 0 -126 + -12n = -42 + 0 -126 + -12n = -42 Add '126' to each side of the equation. -126 + 126 + -12n = -42 + 126 Combine like terms: -126 + 126 = 0 0 + -12n = -42 + 126 -12n = -42 + 126 Combine like terms: -42 + 126 = 84 -12n = 84 Divide each side by '-12'. n = -7 Simplifying n = -7
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