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Simplifying 7n + -12 + -3n = 8(3 + 2n) Reorder the terms: -12 + 7n + -3n = 8(3 + 2n) Combine like terms: 7n + -3n = 4n -12 + 4n = 8(3 + 2n) -12 + 4n = (3 * 8 + 2n * 8) -12 + 4n = (24 + 16n) Solving -12 + 4n = 24 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -12 + 4n + -16n = 24 + 16n + -16n Combine like terms: 4n + -16n = -12n -12 + -12n = 24 + 16n + -16n Combine like terms: 16n + -16n = 0 -12 + -12n = 24 + 0 -12 + -12n = 24 Add '12' to each side of the equation. -12 + 12 + -12n = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -12n = 24 + 12 -12n = 24 + 12 Combine like terms: 24 + 12 = 36 -12n = 36 Divide each side by '-12'. n = -3 Simplifying n = -3
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