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Simplifying -37 + n = -5 + -6(n + -4) Reorder the terms: -37 + n = -5 + -6(-4 + n) -37 + n = -5 + (-4 * -6 + n * -6) -37 + n = -5 + (24 + -6n) Combine like terms: -5 + 24 = 19 -37 + n = 19 + -6n Solving -37 + n = 19 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -37 + n + 6n = 19 + -6n + 6n Combine like terms: n + 6n = 7n -37 + 7n = 19 + -6n + 6n Combine like terms: -6n + 6n = 0 -37 + 7n = 19 + 0 -37 + 7n = 19 Add '37' to each side of the equation. -37 + 37 + 7n = 19 + 37 Combine like terms: -37 + 37 = 0 0 + 7n = 19 + 37 7n = 19 + 37 Combine like terms: 19 + 37 = 56 7n = 56 Divide each side by '7'. n = 8 Simplifying n = 8
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