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Simplifying -6(5n + 2) + 5(n + -2) = 0 Reorder the terms: -6(2 + 5n) + 5(n + -2) = 0 (2 * -6 + 5n * -6) + 5(n + -2) = 0 (-12 + -30n) + 5(n + -2) = 0 Reorder the terms: -12 + -30n + 5(-2 + n) = 0 -12 + -30n + (-2 * 5 + n * 5) = 0 -12 + -30n + (-10 + 5n) = 0 Reorder the terms: -12 + -10 + -30n + 5n = 0 Combine like terms: -12 + -10 = -22 -22 + -30n + 5n = 0 Combine like terms: -30n + 5n = -25n -22 + -25n = 0 Solving -22 + -25n = 0 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 + -25n = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -25n = 0 + 22 -25n = 0 + 22 Combine like terms: 0 + 22 = 22 -25n = 22 Divide each side by '-25'. n = -0.88 Simplifying n = -0.88
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