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Simplifying -4b + 3(3 + 7b) = -4 + 4b -4b + (3 * 3 + 7b * 3) = -4 + 4b -4b + (9 + 21b) = -4 + 4b Reorder the terms: 9 + -4b + 21b = -4 + 4b Combine like terms: -4b + 21b = 17b 9 + 17b = -4 + 4b Solving 9 + 17b = -4 + 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. 9 + 17b + -4b = -4 + 4b + -4b Combine like terms: 17b + -4b = 13b 9 + 13b = -4 + 4b + -4b Combine like terms: 4b + -4b = 0 9 + 13b = -4 + 0 9 + 13b = -4 Add '-9' to each side of the equation. 9 + -9 + 13b = -4 + -9 Combine like terms: 9 + -9 = 0 0 + 13b = -4 + -9 13b = -4 + -9 Combine like terms: -4 + -9 = -13 13b = -13 Divide each side by '13'. b = -1 Simplifying b = -1
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