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Simplifying 2(5b + 20) = 6(2b + 4) Reorder the terms: 2(20 + 5b) = 6(2b + 4) (20 * 2 + 5b * 2) = 6(2b + 4) (40 + 10b) = 6(2b + 4) Reorder the terms: 40 + 10b = 6(4 + 2b) 40 + 10b = (4 * 6 + 2b * 6) 40 + 10b = (24 + 12b) Solving 40 + 10b = 24 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 40 + 10b + -12b = 24 + 12b + -12b Combine like terms: 10b + -12b = -2b 40 + -2b = 24 + 12b + -12b Combine like terms: 12b + -12b = 0 40 + -2b = 24 + 0 40 + -2b = 24 Add '-40' to each side of the equation. 40 + -40 + -2b = 24 + -40 Combine like terms: 40 + -40 = 0 0 + -2b = 24 + -40 -2b = 24 + -40 Combine like terms: 24 + -40 = -16 -2b = -16 Divide each side by '-2'. b = 8 Simplifying b = 8
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