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Simplifying -37 + -8n = -6(n + 7) + -1n Reorder the terms: -37 + -8n = -6(7 + n) + -1n -37 + -8n = (7 * -6 + n * -6) + -1n -37 + -8n = (-42 + -6n) + -1n Combine like terms: -6n + -1n = -7n -37 + -8n = -42 + -7n Solving -37 + -8n = -42 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -37 + -8n + 7n = -42 + -7n + 7n Combine like terms: -8n + 7n = -1n -37 + -1n = -42 + -7n + 7n Combine like terms: -7n + 7n = 0 -37 + -1n = -42 + 0 -37 + -1n = -42 Add '37' to each side of the equation. -37 + 37 + -1n = -42 + 37 Combine like terms: -37 + 37 = 0 0 + -1n = -42 + 37 -1n = -42 + 37 Combine like terms: -42 + 37 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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