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Simplifying 37 + -6n = -5 + -6(4n + -4) Reorder the terms: 37 + -6n = -5 + -6(-4 + 4n) 37 + -6n = -5 + (-4 * -6 + 4n * -6) 37 + -6n = -5 + (24 + -24n) Combine like terms: -5 + 24 = 19 37 + -6n = 19 + -24n Solving 37 + -6n = 19 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 37 + -6n + 24n = 19 + -24n + 24n Combine like terms: -6n + 24n = 18n 37 + 18n = 19 + -24n + 24n Combine like terms: -24n + 24n = 0 37 + 18n = 19 + 0 37 + 18n = 19 Add '-37' to each side of the equation. 37 + -37 + 18n = 19 + -37 Combine like terms: 37 + -37 = 0 0 + 18n = 19 + -37 18n = 19 + -37 Combine like terms: 19 + -37 = -18 18n = -18 Divide each side by '18'. n = -1 Simplifying n = -1
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