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Simplifying 0.66666666n + 7 = 4n + -10 Reorder the terms: 7 + 0.66666666n = 4n + -10 Reorder the terms: 7 + 0.66666666n = -10 + 4n Solving 7 + 0.66666666n = -10 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 7 + 0.66666666n + -4n = -10 + 4n + -4n Combine like terms: 0.66666666n + -4n = -3.33333334n 7 + -3.33333334n = -10 + 4n + -4n Combine like terms: 4n + -4n = 0 7 + -3.33333334n = -10 + 0 7 + -3.33333334n = -10 Add '-7' to each side of the equation. 7 + -7 + -3.33333334n = -10 + -7 Combine like terms: 7 + -7 = 0 0 + -3.33333334n = -10 + -7 -3.33333334n = -10 + -7 Combine like terms: -10 + -7 = -17 -3.33333334n = -17 Divide each side by '-3.33333334'. n = 5.09999999 Simplifying n = 5.09999999
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