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Simplifying 8(3b + 10) = 4(b + 3) + -9 Reorder the terms: 8(10 + 3b) = 4(b + 3) + -9 (10 * 8 + 3b * 8) = 4(b + 3) + -9 (80 + 24b) = 4(b + 3) + -9 Reorder the terms: 80 + 24b = 4(3 + b) + -9 80 + 24b = (3 * 4 + b * 4) + -9 80 + 24b = (12 + 4b) + -9 Reorder the terms: 80 + 24b = 12 + -9 + 4b Combine like terms: 12 + -9 = 3 80 + 24b = 3 + 4b Solving 80 + 24b = 3 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 80 + 24b + -4b = 3 + 4b + -4b Combine like terms: 24b + -4b = 20b 80 + 20b = 3 + 4b + -4b Combine like terms: 4b + -4b = 0 80 + 20b = 3 + 0 80 + 20b = 3 Add '-80' to each side of the equation. 80 + -80 + 20b = 3 + -80 Combine like terms: 80 + -80 = 0 0 + 20b = 3 + -80 20b = 3 + -80 Combine like terms: 3 + -80 = -77 20b = -77 Divide each side by '20'. b = -3.85 Simplifying b = -3.85
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