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Simplifying 4(3b + -1) + 6 = 5(2b + 4) Reorder the terms: 4(-1 + 3b) + 6 = 5(2b + 4) (-1 * 4 + 3b * 4) + 6 = 5(2b + 4) (-4 + 12b) + 6 = 5(2b + 4) Reorder the terms: -4 + 6 + 12b = 5(2b + 4) Combine like terms: -4 + 6 = 2 2 + 12b = 5(2b + 4) Reorder the terms: 2 + 12b = 5(4 + 2b) 2 + 12b = (4 * 5 + 2b * 5) 2 + 12b = (20 + 10b) Solving 2 + 12b = 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. 2 + 12b + -10b = 20 + 10b + -10b Combine like terms: 12b + -10b = 2b 2 + 2b = 20 + 10b + -10b Combine like terms: 10b + -10b = 0 2 + 2b = 20 + 0 2 + 2b = 20 Add '-2' to each side of the equation. 2 + -2 + 2b = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 2b = 20 + -2 2b = 20 + -2 Combine like terms: 20 + -2 = 18 2b = 18 Divide each side by '2'. b = 9 Simplifying b = 9
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