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Simplifying 12 + 7 + 4n + -3 = -5 + 7n Reorder the terms: 12 + 7 + -3 + 4n = -5 + 7n Combine like terms: 12 + 7 = 19 19 + -3 + 4n = -5 + 7n Combine like terms: 19 + -3 = 16 16 + 4n = -5 + 7n Solving 16 + 4n = -5 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 16 + 4n + -7n = -5 + 7n + -7n Combine like terms: 4n + -7n = -3n 16 + -3n = -5 + 7n + -7n Combine like terms: 7n + -7n = 0 16 + -3n = -5 + 0 16 + -3n = -5 Add '-16' to each side of the equation. 16 + -16 + -3n = -5 + -16 Combine like terms: 16 + -16 = 0 0 + -3n = -5 + -16 -3n = -5 + -16 Combine like terms: -5 + -16 = -21 -3n = -21 Divide each side by '-3'. n = 7 Simplifying n = 7
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