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Simplifying 2(b + 5) = 4b + -2 Reorder the terms: 2(5 + b) = 4b + -2 (5 * 2 + b * 2) = 4b + -2 (10 + 2b) = 4b + -2 Reorder the terms: 10 + 2b = -2 + 4b Solving 10 + 2b = -2 + 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. 10 + 2b + -4b = -2 + 4b + -4b Combine like terms: 2b + -4b = -2b 10 + -2b = -2 + 4b + -4b Combine like terms: 4b + -4b = 0 10 + -2b = -2 + 0 10 + -2b = -2 Add '-10' to each side of the equation. 10 + -10 + -2b = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -2b = -2 + -10 -2b = -2 + -10 Combine like terms: -2 + -10 = -12 -2b = -12 Divide each side by '-2'. b = 6 Simplifying b = 6
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