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Simplifying 2(2b + 1) + 5 = 3(2b + 1) + -3 Reorder the terms: 2(1 + 2b) + 5 = 3(2b + 1) + -3 (1 * 2 + 2b * 2) + 5 = 3(2b + 1) + -3 (2 + 4b) + 5 = 3(2b + 1) + -3 Reorder the terms: 2 + 5 + 4b = 3(2b + 1) + -3 Combine like terms: 2 + 5 = 7 7 + 4b = 3(2b + 1) + -3 Reorder the terms: 7 + 4b = 3(1 + 2b) + -3 7 + 4b = (1 * 3 + 2b * 3) + -3 7 + 4b = (3 + 6b) + -3 Reorder the terms: 7 + 4b = 3 + -3 + 6b Combine like terms: 3 + -3 = 0 7 + 4b = 0 + 6b 7 + 4b = 6b Solving 7 + 4b = 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. 7 + 4b + -6b = 6b + -6b Combine like terms: 4b + -6b = -2b 7 + -2b = 6b + -6b Combine like terms: 6b + -6b = 0 7 + -2b = 0 Add '-7' to each side of the equation. 7 + -7 + -2b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2b = 0 + -7 -2b = 0 + -7 Combine like terms: 0 + -7 = -7 -2b = -7 Divide each side by '-2'. b = 3.5 Simplifying b = 3.5
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