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Simplifying -37 = 4(7n + 6) + -5 Reorder the terms: -37 = 4(6 + 7n) + -5 -37 = (6 * 4 + 7n * 4) + -5 -37 = (24 + 28n) + -5 Reorder the terms: -37 = 24 + -5 + 28n Combine like terms: 24 + -5 = 19 -37 = 19 + 28n Solving -37 = 19 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. -37 + -28n = 19 + 28n + -28n Combine like terms: 28n + -28n = 0 -37 + -28n = 19 + 0 -37 + -28n = 19 Add '37' to each side of the equation. -37 + 37 + -28n = 19 + 37 Combine like terms: -37 + 37 = 0 0 + -28n = 19 + 37 -28n = 19 + 37 Combine like terms: 19 + 37 = 56 -28n = 56 Divide each side by '-28'. n = -2 Simplifying n = -2
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