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Simplifying 3n + -5 + 2n + 12 = -3(4n + -6) Reorder the terms: -5 + 12 + 3n + 2n = -3(4n + -6) Combine like terms: -5 + 12 = 7 7 + 3n + 2n = -3(4n + -6) Combine like terms: 3n + 2n = 5n 7 + 5n = -3(4n + -6) Reorder the terms: 7 + 5n = -3(-6 + 4n) 7 + 5n = (-6 * -3 + 4n * -3) 7 + 5n = (18 + -12n) Solving 7 + 5n = 18 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 7 + 5n + 12n = 18 + -12n + 12n Combine like terms: 5n + 12n = 17n 7 + 17n = 18 + -12n + 12n Combine like terms: -12n + 12n = 0 7 + 17n = 18 + 0 7 + 17n = 18 Add '-7' to each side of the equation. 7 + -7 + 17n = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 17n = 18 + -7 17n = 18 + -7 Combine like terms: 18 + -7 = 11 17n = 11 Divide each side by '17'. n = 0.6470588235 Simplifying n = 0.6470588235
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