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Simplifying -4b + 7(b + 2) = 2b + 20 Reorder the terms: -4b + 7(2 + b) = 2b + 20 -4b + (2 * 7 + b * 7) = 2b + 20 -4b + (14 + 7b) = 2b + 20 Reorder the terms: 14 + -4b + 7b = 2b + 20 Combine like terms: -4b + 7b = 3b 14 + 3b = 2b + 20 Reorder the terms: 14 + 3b = 20 + 2b Solving 14 + 3b = 20 + 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. 14 + 3b + -2b = 20 + 2b + -2b Combine like terms: 3b + -2b = 1b 14 + 1b = 20 + 2b + -2b Combine like terms: 2b + -2b = 0 14 + 1b = 20 + 0 14 + 1b = 20 Add '-14' to each side of the equation. 14 + -14 + 1b = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 1b = 20 + -14 1b = 20 + -14 Combine like terms: 20 + -14 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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