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Simplifying 0.18(n + -7) + 9 = 0.44(2n + -5) Reorder the terms: 0.18(-7 + n) + 9 = 0.44(2n + -5) (-7 * 0.18 + n * 0.18) + 9 = 0.44(2n + -5) (-1.26 + 0.18n) + 9 = 0.44(2n + -5) Reorder the terms: -1.26 + 9 + 0.18n = 0.44(2n + -5) Combine like terms: -1.26 + 9 = 7.74 7.74 + 0.18n = 0.44(2n + -5) Reorder the terms: 7.74 + 0.18n = 0.44(-5 + 2n) 7.74 + 0.18n = (-5 * 0.44 + 2n * 0.44) 7.74 + 0.18n = (-2.2 + 0.88n) Solving 7.74 + 0.18n = -2.2 + 0.88n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.88n' to each side of the equation. 7.74 + 0.18n + -0.88n = -2.2 + 0.88n + -0.88n Combine like terms: 0.18n + -0.88n = -0.7n 7.74 + -0.7n = -2.2 + 0.88n + -0.88n Combine like terms: 0.88n + -0.88n = 0.00 7.74 + -0.7n = -2.2 + 0.00 7.74 + -0.7n = -2.2 Add '-7.74' to each side of the equation. 7.74 + -7.74 + -0.7n = -2.2 + -7.74 Combine like terms: 7.74 + -7.74 = 0.00 0.00 + -0.7n = -2.2 + -7.74 -0.7n = -2.2 + -7.74 Combine like terms: -2.2 + -7.74 = -9.94 -0.7n = -9.94 Divide each side by '-0.7'. n = 14.2 Simplifying n = 14.2
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