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