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Simplifying -6(2 + -3w) + -6(-7 + -2n) = 30 (2 * -6 + -3w * -6) + -6(-7 + -2n) = 30 (-12 + 18w) + -6(-7 + -2n) = 30 -12 + 18w + (-7 * -6 + -2n * -6) = 30 -12 + 18w + (42 + 12n) = 30 Reorder the terms: -12 + 42 + 12n + 18w = 30 Combine like terms: -12 + 42 = 30 30 + 12n + 18w = 30 Add '-30' to each side of the equation. 30 + 12n + -30 + 18w = 30 + -30 Reorder the terms: 30 + -30 + 12n + 18w = 30 + -30 Combine like terms: 30 + -30 = 0 0 + 12n + 18w = 30 + -30 12n + 18w = 30 + -30 Combine like terms: 30 + -30 = 0 12n + 18w = 0 Solving 12n + 18w = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18w' to each side of the equation. 12n + 18w + -18w = 0 + -18w Combine like terms: 18w + -18w = 0 12n + 0 = 0 + -18w 12n = 0 + -18w Remove the zero: 12n = -18w Divide each side by '12'. n = -1.5w Simplifying n = -1.5w
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