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Simplifying 0.75n + 0.083n + -6 = 5 + 2n + -18 Reorder the terms: -6 + 0.75n + 0.083n = 5 + 2n + -18 Combine like terms: 0.75n + 0.083n = 0.833n -6 + 0.833n = 5 + 2n + -18 Reorder the terms: -6 + 0.833n = 5 + -18 + 2n Combine like terms: 5 + -18 = -13 -6 + 0.833n = -13 + 2n Solving -6 + 0.833n = -13 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -6 + 0.833n + -2n = -13 + 2n + -2n Combine like terms: 0.833n + -2n = -1.167n -6 + -1.167n = -13 + 2n + -2n Combine like terms: 2n + -2n = 0 -6 + -1.167n = -13 + 0 -6 + -1.167n = -13 Add '6' to each side of the equation. -6 + 6 + -1.167n = -13 + 6 Combine like terms: -6 + 6 = 0 0 + -1.167n = -13 + 6 -1.167n = -13 + 6 Combine like terms: -13 + 6 = -7 -1.167n = -7 Divide each side by '-1.167'. n = 5.998286204 Simplifying n = 5.998286204
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