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Simplifying 6b + -22 = 2(b + 5) Reorder the terms: -22 + 6b = 2(b + 5) Reorder the terms: -22 + 6b = 2(5 + b) -22 + 6b = (5 * 2 + b * 2) -22 + 6b = (10 + 2b) Solving -22 + 6b = 10 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -22 + 6b + -2b = 10 + 2b + -2b Combine like terms: 6b + -2b = 4b -22 + 4b = 10 + 2b + -2b Combine like terms: 2b + -2b = 0 -22 + 4b = 10 + 0 -22 + 4b = 10 Add '22' to each side of the equation. -22 + 22 + 4b = 10 + 22 Combine like terms: -22 + 22 = 0 0 + 4b = 10 + 22 4b = 10 + 22 Combine like terms: 10 + 22 = 32 4b = 32 Divide each side by '4'. b = 8 Simplifying b = 8
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