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Simplifying b + 2b + 3b + -22 = 4(b + 6) Reorder the terms: -22 + b + 2b + 3b = 4(b + 6) Combine like terms: b + 2b = 3b -22 + 3b + 3b = 4(b + 6) Combine like terms: 3b + 3b = 6b -22 + 6b = 4(b + 6) Reorder the terms: -22 + 6b = 4(6 + b) -22 + 6b = (6 * 4 + b * 4) -22 + 6b = (24 + 4b) Solving -22 + 6b = 24 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -22 + 6b + -4b = 24 + 4b + -4b Combine like terms: 6b + -4b = 2b -22 + 2b = 24 + 4b + -4b Combine like terms: 4b + -4b = 0 -22 + 2b = 24 + 0 -22 + 2b = 24 Add '22' to each side of the equation. -22 + 22 + 2b = 24 + 22 Combine like terms: -22 + 22 = 0 0 + 2b = 24 + 22 2b = 24 + 22 Combine like terms: 24 + 22 = 46 2b = 46 Divide each side by '2'. b = 23 Simplifying b = 23
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