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Simplifying -3 + -8(n + -5) = 29 + -7n Reorder the terms: -3 + -8(-5 + n) = 29 + -7n -3 + (-5 * -8 + n * -8) = 29 + -7n -3 + (40 + -8n) = 29 + -7n Combine like terms: -3 + 40 = 37 37 + -8n = 29 + -7n Solving 37 + -8n = 29 + -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 = 29 + -7n + 7n Combine like terms: -8n + 7n = -1n 37 + -1n = 29 + -7n + 7n Combine like terms: -7n + 7n = 0 37 + -1n = 29 + 0 37 + -1n = 29 Add '-37' to each side of the equation. 37 + -37 + -1n = 29 + -37 Combine like terms: 37 + -37 = 0 0 + -1n = 29 + -37 -1n = 29 + -37 Combine like terms: 29 + -37 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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