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Simplifying 19 + 2b = 8(b + 4) + 7b Reorder the terms: 19 + 2b = 8(4 + b) + 7b 19 + 2b = (4 * 8 + b * 8) + 7b 19 + 2b = (32 + 8b) + 7b Combine like terms: 8b + 7b = 15b 19 + 2b = 32 + 15b Solving 19 + 2b = 32 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 19 + 2b + -15b = 32 + 15b + -15b Combine like terms: 2b + -15b = -13b 19 + -13b = 32 + 15b + -15b Combine like terms: 15b + -15b = 0 19 + -13b = 32 + 0 19 + -13b = 32 Add '-19' to each side of the equation. 19 + -19 + -13b = 32 + -19 Combine like terms: 19 + -19 = 0 0 + -13b = 32 + -19 -13b = 32 + -19 Combine like terms: 32 + -19 = 13 -13b = 13 Divide each side by '-13'. b = -1 Simplifying b = -1
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