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Simplifying 37 = -2(4n + -1) + 5(-1n + -6) Reorder the terms: 37 = -2(-1 + 4n) + 5(-1n + -6) 37 = (-1 * -2 + 4n * -2) + 5(-1n + -6) 37 = (2 + -8n) + 5(-1n + -6) Reorder the terms: 37 = 2 + -8n + 5(-6 + -1n) 37 = 2 + -8n + (-6 * 5 + -1n * 5) 37 = 2 + -8n + (-30 + -5n) Reorder the terms: 37 = 2 + -30 + -8n + -5n Combine like terms: 2 + -30 = -28 37 = -28 + -8n + -5n Combine like terms: -8n + -5n = -13n 37 = -28 + -13n Solving 37 = -28 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. 37 + 13n = -28 + -13n + 13n Combine like terms: -13n + 13n = 0 37 + 13n = -28 + 0 37 + 13n = -28 Add '-37' to each side of the equation. 37 + -37 + 13n = -28 + -37 Combine like terms: 37 + -37 = 0 0 + 13n = -28 + -37 13n = -28 + -37 Combine like terms: -28 + -37 = -65 13n = -65 Divide each side by '13'. n = -5 Simplifying n = -5
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