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Simplifying 2(b + 1) + -7b = 4b + 2 Reorder the terms: 2(1 + b) + -7b = 4b + 2 (1 * 2 + b * 2) + -7b = 4b + 2 (2 + 2b) + -7b = 4b + 2 Combine like terms: 2b + -7b = -5b 2 + -5b = 4b + 2 Reorder the terms: 2 + -5b = 2 + 4b Add '-2' to each side of the equation. 2 + -2 + -5b = 2 + -2 + 4b Combine like terms: 2 + -2 = 0 0 + -5b = 2 + -2 + 4b -5b = 2 + -2 + 4b Combine like terms: 2 + -2 = 0 -5b = 0 + 4b -5b = 4b Solving -5b = 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. -5b + -4b = 4b + -4b Combine like terms: -5b + -4b = -9b -9b = 4b + -4b Combine like terms: 4b + -4b = 0 -9b = 0 Divide each side by '-9'. b = 0 Simplifying b = 0
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