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Simplifying 37 + -7n = -8n + 4(1 + -8n) 37 + -7n = -8n + (1 * 4 + -8n * 4) 37 + -7n = -8n + (4 + -32n) Reorder the terms: 37 + -7n = 4 + -8n + -32n Combine like terms: -8n + -32n = -40n 37 + -7n = 4 + -40n Solving 37 + -7n = 4 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. 37 + -7n + 40n = 4 + -40n + 40n Combine like terms: -7n + 40n = 33n 37 + 33n = 4 + -40n + 40n Combine like terms: -40n + 40n = 0 37 + 33n = 4 + 0 37 + 33n = 4 Add '-37' to each side of the equation. 37 + -37 + 33n = 4 + -37 Combine like terms: 37 + -37 = 0 0 + 33n = 4 + -37 33n = 4 + -37 Combine like terms: 4 + -37 = -33 33n = -33 Divide each side by '33'. n = -1 Simplifying n = -1
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