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Simplifying (12b + 5) + -7(3b + -1) + 4(3b + 6) = 0 Reorder the terms: (5 + 12b) + -7(3b + -1) + 4(3b + 6) = 0 Remove parenthesis around (5 + 12b) 5 + 12b + -7(3b + -1) + 4(3b + 6) = 0 Reorder the terms: 5 + 12b + -7(-1 + 3b) + 4(3b + 6) = 0 5 + 12b + (-1 * -7 + 3b * -7) + 4(3b + 6) = 0 5 + 12b + (7 + -21b) + 4(3b + 6) = 0 Reorder the terms: 5 + 12b + 7 + -21b + 4(6 + 3b) = 0 5 + 12b + 7 + -21b + (6 * 4 + 3b * 4) = 0 5 + 12b + 7 + -21b + (24 + 12b) = 0 Reorder the terms: 5 + 7 + 24 + 12b + -21b + 12b = 0 Combine like terms: 5 + 7 = 12 12 + 24 + 12b + -21b + 12b = 0 Combine like terms: 12 + 24 = 36 36 + 12b + -21b + 12b = 0 Combine like terms: 12b + -21b = -9b 36 + -9b + 12b = 0 Combine like terms: -9b + 12b = 3b 36 + 3b = 0 Solving 36 + 3b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 3b = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 3b = 0 + -36 3b = 0 + -36 Combine like terms: 0 + -36 = -36 3b = -36 Divide each side by '3'. b = -12 Simplifying b = -12
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