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Simplifying 6(b + 7) + -3b = 0 Reorder the terms: 6(7 + b) + -3b = 0 (7 * 6 + b * 6) + -3b = 0 (42 + 6b) + -3b = 0 Combine like terms: 6b + -3b = 3b 42 + 3b = 0 Solving 42 + 3b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 3b = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 3b = 0 + -42 3b = 0 + -42 Combine like terms: 0 + -42 = -42 3b = -42 Divide each side by '3'. b = -14 Simplifying b = -14
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