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Simplifying -30(5n + 12) = 5(14n + 6) Reorder the terms: -30(12 + 5n) = 5(14n + 6) (12 * -30 + 5n * -30) = 5(14n + 6) (-360 + -150n) = 5(14n + 6) Reorder the terms: -360 + -150n = 5(6 + 14n) -360 + -150n = (6 * 5 + 14n * 5) -360 + -150n = (30 + 70n) Solving -360 + -150n = 30 + 70n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-70n' to each side of the equation. -360 + -150n + -70n = 30 + 70n + -70n Combine like terms: -150n + -70n = -220n -360 + -220n = 30 + 70n + -70n Combine like terms: 70n + -70n = 0 -360 + -220n = 30 + 0 -360 + -220n = 30 Add '360' to each side of the equation. -360 + 360 + -220n = 30 + 360 Combine like terms: -360 + 360 = 0 0 + -220n = 30 + 360 -220n = 30 + 360 Combine like terms: 30 + 360 = 390 -220n = 390 Divide each side by '-220'. n = -1.772727273 Simplifying n = -1.772727273
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