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Simplifying 8b + 12 = 5(4 + 2b) Reorder the terms: 12 + 8b = 5(4 + 2b) 12 + 8b = (4 * 5 + 2b * 5) 12 + 8b = (20 + 10b) Solving 12 + 8b = 20 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 12 + 8b + -10b = 20 + 10b + -10b Combine like terms: 8b + -10b = -2b 12 + -2b = 20 + 10b + -10b Combine like terms: 10b + -10b = 0 12 + -2b = 20 + 0 12 + -2b = 20 Add '-12' to each side of the equation. 12 + -12 + -2b = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -2b = 20 + -12 -2b = 20 + -12 Combine like terms: 20 + -12 = 8 -2b = 8 Divide each side by '-2'. b = -4 Simplifying b = -4
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