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Simplifying 4b + 2 = 3(6 + -4b) Reorder the terms: 2 + 4b = 3(6 + -4b) 2 + 4b = (6 * 3 + -4b * 3) 2 + 4b = (18 + -12b) Solving 2 + 4b = 18 + -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. 2 + 4b + 12b = 18 + -12b + 12b Combine like terms: 4b + 12b = 16b 2 + 16b = 18 + -12b + 12b Combine like terms: -12b + 12b = 0 2 + 16b = 18 + 0 2 + 16b = 18 Add '-2' to each side of the equation. 2 + -2 + 16b = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 16b = 18 + -2 16b = 18 + -2 Combine like terms: 18 + -2 = 16 16b = 16 Divide each side by '16'. b = 1 Simplifying b = 1
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