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Simplifying 2(6b + 2) + 3 = 5(4b + 3) Reorder the terms: 2(2 + 6b) + 3 = 5(4b + 3) (2 * 2 + 6b * 2) + 3 = 5(4b + 3) (4 + 12b) + 3 = 5(4b + 3) Reorder the terms: 4 + 3 + 12b = 5(4b + 3) Combine like terms: 4 + 3 = 7 7 + 12b = 5(4b + 3) Reorder the terms: 7 + 12b = 5(3 + 4b) 7 + 12b = (3 * 5 + 4b * 5) 7 + 12b = (15 + 20b) Solving 7 + 12b = 15 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. 7 + 12b + -20b = 15 + 20b + -20b Combine like terms: 12b + -20b = -8b 7 + -8b = 15 + 20b + -20b Combine like terms: 20b + -20b = 0 7 + -8b = 15 + 0 7 + -8b = 15 Add '-7' to each side of the equation. 7 + -7 + -8b = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -8b = 15 + -7 -8b = 15 + -7 Combine like terms: 15 + -7 = 8 -8b = 8 Divide each side by '-8'. b = -1 Simplifying b = -1
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