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Simplifying 6b + 2(1 + 5b) = 7b + 38 6b + (1 * 2 + 5b * 2) = 7b + 38 6b + (2 + 10b) = 7b + 38 Reorder the terms: 2 + 6b + 10b = 7b + 38 Combine like terms: 6b + 10b = 16b 2 + 16b = 7b + 38 Reorder the terms: 2 + 16b = 38 + 7b Solving 2 + 16b = 38 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 2 + 16b + -7b = 38 + 7b + -7b Combine like terms: 16b + -7b = 9b 2 + 9b = 38 + 7b + -7b Combine like terms: 7b + -7b = 0 2 + 9b = 38 + 0 2 + 9b = 38 Add '-2' to each side of the equation. 2 + -2 + 9b = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 9b = 38 + -2 9b = 38 + -2 Combine like terms: 38 + -2 = 36 9b = 36 Divide each side by '9'. b = 4 Simplifying b = 4
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