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Simplifying 3(n + 12) = 3n + -4(10 + n) Reorder the terms: 3(12 + n) = 3n + -4(10 + n) (12 * 3 + n * 3) = 3n + -4(10 + n) (36 + 3n) = 3n + -4(10 + n) 36 + 3n = 3n + (10 * -4 + n * -4) 36 + 3n = 3n + (-40 + -4n) Reorder the terms: 36 + 3n = -40 + 3n + -4n Combine like terms: 3n + -4n = -1n 36 + 3n = -40 + -1n Solving 36 + 3n = -40 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 36 + 3n + n = -40 + -1n + n Combine like terms: 3n + n = 4n 36 + 4n = -40 + -1n + n Combine like terms: -1n + n = 0 36 + 4n = -40 + 0 36 + 4n = -40 Add '-36' to each side of the equation. 36 + -36 + 4n = -40 + -36 Combine like terms: 36 + -36 = 0 0 + 4n = -40 + -36 4n = -40 + -36 Combine like terms: -40 + -36 = -76 4n = -76 Divide each side by '4'. n = -19 Simplifying n = -19
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