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Simplifying 52 = -2(22 + -1b) + 4(b + 3) 52 = (22 * -2 + -1b * -2) + 4(b + 3) 52 = (-44 + 2b) + 4(b + 3) Reorder the terms: 52 = -44 + 2b + 4(3 + b) 52 = -44 + 2b + (3 * 4 + b * 4) 52 = -44 + 2b + (12 + 4b) Reorder the terms: 52 = -44 + 12 + 2b + 4b Combine like terms: -44 + 12 = -32 52 = -32 + 2b + 4b Combine like terms: 2b + 4b = 6b 52 = -32 + 6b Solving 52 = -32 + 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. 52 + -6b = -32 + 6b + -6b Combine like terms: 6b + -6b = 0 52 + -6b = -32 + 0 52 + -6b = -32 Add '-52' to each side of the equation. 52 + -52 + -6b = -32 + -52 Combine like terms: 52 + -52 = 0 0 + -6b = -32 + -52 -6b = -32 + -52 Combine like terms: -32 + -52 = -84 -6b = -84 Divide each side by '-6'. b = 14 Simplifying b = 14
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