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Simplifying 4n + -40(1 + 5n) = -6n + -14 4n + (1 * -40 + 5n * -40) = -6n + -14 4n + (-40 + -200n) = -6n + -14 Reorder the terms: -40 + 4n + -200n = -6n + -14 Combine like terms: 4n + -200n = -196n -40 + -196n = -6n + -14 Reorder the terms: -40 + -196n = -14 + -6n Solving -40 + -196n = -14 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -40 + -196n + 6n = -14 + -6n + 6n Combine like terms: -196n + 6n = -190n -40 + -190n = -14 + -6n + 6n Combine like terms: -6n + 6n = 0 -40 + -190n = -14 + 0 -40 + -190n = -14 Add '40' to each side of the equation. -40 + 40 + -190n = -14 + 40 Combine like terms: -40 + 40 = 0 0 + -190n = -14 + 40 -190n = -14 + 40 Combine like terms: -14 + 40 = 26 -190n = 26 Divide each side by '-190'. n = -0.1368421053 Simplifying n = -0.1368421053
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