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Simplifying 4(12n + 3) = 4n + -42 Reorder the terms: 4(3 + 12n) = 4n + -42 (3 * 4 + 12n * 4) = 4n + -42 (12 + 48n) = 4n + -42 Reorder the terms: 12 + 48n = -42 + 4n Solving 12 + 48n = -42 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 12 + 48n + -4n = -42 + 4n + -4n Combine like terms: 48n + -4n = 44n 12 + 44n = -42 + 4n + -4n Combine like terms: 4n + -4n = 0 12 + 44n = -42 + 0 12 + 44n = -42 Add '-12' to each side of the equation. 12 + -12 + 44n = -42 + -12 Combine like terms: 12 + -12 = 0 0 + 44n = -42 + -12 44n = -42 + -12 Combine like terms: -42 + -12 = -54 44n = -54 Divide each side by '44'. n = -1.227272727 Simplifying n = -1.227272727
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