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Simplifying 3b(4 + -2b) + -6b = -1b(6b + 7) + 104 (4 * 3b + -2b * 3b) + -6b = -1b(6b + 7) + 104 (12b + -6b2) + -6b = -1b(6b + 7) + 104 Reorder the terms: 12b + -6b + -6b2 = -1b(6b + 7) + 104 Combine like terms: 12b + -6b = 6b 6b + -6b2 = -1b(6b + 7) + 104 Reorder the terms: 6b + -6b2 = -1b(7 + 6b) + 104 6b + -6b2 = (7 * -1b + 6b * -1b) + 104 6b + -6b2 = (-7b + -6b2) + 104 Reorder the terms: 6b + -6b2 = 104 + -7b + -6b2 Add '6b2' to each side of the equation. 6b + -6b2 + 6b2 = 104 + -7b + -6b2 + 6b2 Combine like terms: -6b2 + 6b2 = 0 6b + 0 = 104 + -7b + -6b2 + 6b2 6b = 104 + -7b + -6b2 + 6b2 Combine like terms: -6b2 + 6b2 = 0 6b = 104 + -7b + 0 6b = 104 + -7b Solving 6b = 104 + -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. 6b + 7b = 104 + -7b + 7b Combine like terms: 6b + 7b = 13b 13b = 104 + -7b + 7b Combine like terms: -7b + 7b = 0 13b = 104 + 0 13b = 104 Divide each side by '13'. b = 8 Simplifying b = 8
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