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Simplifying -4(6n + -3) = 37 + n Reorder the terms: -4(-3 + 6n) = 37 + n (-3 * -4 + 6n * -4) = 37 + n (12 + -24n) = 37 + n Solving 12 + -24n = 37 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 12 + -24n + -1n = 37 + n + -1n Combine like terms: -24n + -1n = -25n 12 + -25n = 37 + n + -1n Combine like terms: n + -1n = 0 12 + -25n = 37 + 0 12 + -25n = 37 Add '-12' to each side of the equation. 12 + -12 + -25n = 37 + -12 Combine like terms: 12 + -12 = 0 0 + -25n = 37 + -12 -25n = 37 + -12 Combine like terms: 37 + -12 = 25 -25n = 25 Divide each side by '-25'. n = -1 Simplifying n = -1
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