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Simplifying 19(59n + 76) = -57(-2n + 116) Reorder the terms: 19(76 + 59n) = -57(-2n + 116) (76 * 19 + 59n * 19) = -57(-2n + 116) (1444 + 1121n) = -57(-2n + 116) Reorder the terms: 1444 + 1121n = -57(116 + -2n) 1444 + 1121n = (116 * -57 + -2n * -57) 1444 + 1121n = (-6612 + 114n) Solving 1444 + 1121n = -6612 + 114n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-114n' to each side of the equation. 1444 + 1121n + -114n = -6612 + 114n + -114n Combine like terms: 1121n + -114n = 1007n 1444 + 1007n = -6612 + 114n + -114n Combine like terms: 114n + -114n = 0 1444 + 1007n = -6612 + 0 1444 + 1007n = -6612 Add '-1444' to each side of the equation. 1444 + -1444 + 1007n = -6612 + -1444 Combine like terms: 1444 + -1444 = 0 0 + 1007n = -6612 + -1444 1007n = -6612 + -1444 Combine like terms: -6612 + -1444 = -8056 1007n = -8056 Divide each side by '1007'. n = -8 Simplifying n = -8
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