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Simplifying 4(3 + -1b) = 5(4 + -1b) (3 * 4 + -1b * 4) = 5(4 + -1b) (12 + -4b) = 5(4 + -1b) 12 + -4b = (4 * 5 + -1b * 5) 12 + -4b = (20 + -5b) Solving 12 + -4b = 20 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 12 + -4b + 5b = 20 + -5b + 5b Combine like terms: -4b + 5b = 1b 12 + 1b = 20 + -5b + 5b Combine like terms: -5b + 5b = 0 12 + 1b = 20 + 0 12 + 1b = 20 Add '-12' to each side of the equation. 12 + -12 + 1b = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 1b = 20 + -12 1b = 20 + -12 Combine like terms: 20 + -12 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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