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Simplifying 2(-3 + -1n) + -7(2n + 5) = 0 (-3 * 2 + -1n * 2) + -7(2n + 5) = 0 (-6 + -2n) + -7(2n + 5) = 0 Reorder the terms: -6 + -2n + -7(5 + 2n) = 0 -6 + -2n + (5 * -7 + 2n * -7) = 0 -6 + -2n + (-35 + -14n) = 0 Reorder the terms: -6 + -35 + -2n + -14n = 0 Combine like terms: -6 + -35 = -41 -41 + -2n + -14n = 0 Combine like terms: -2n + -14n = -16n -41 + -16n = 0 Solving -41 + -16n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -16n = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -16n = 0 + 41 -16n = 0 + 41 Combine like terms: 0 + 41 = 41 -16n = 41 Divide each side by '-16'. n = -2.5625 Simplifying n = -2.5625
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