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Simplifying -3(4b + 4) + 6(b + 3) = -3b + -6b Reorder the terms: -3(4 + 4b) + 6(b + 3) = -3b + -6b (4 * -3 + 4b * -3) + 6(b + 3) = -3b + -6b (-12 + -12b) + 6(b + 3) = -3b + -6b Reorder the terms: -12 + -12b + 6(3 + b) = -3b + -6b -12 + -12b + (3 * 6 + b * 6) = -3b + -6b -12 + -12b + (18 + 6b) = -3b + -6b Reorder the terms: -12 + 18 + -12b + 6b = -3b + -6b Combine like terms: -12 + 18 = 6 6 + -12b + 6b = -3b + -6b Combine like terms: -12b + 6b = -6b 6 + -6b = -3b + -6b Combine like terms: -3b + -6b = -9b 6 + -6b = -9b Solving 6 + -6b = -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. 6 + -6b + 9b = -9b + 9b Combine like terms: -6b + 9b = 3b 6 + 3b = -9b + 9b Combine like terms: -9b + 9b = 0 6 + 3b = 0 Add '-6' to each side of the equation. 6 + -6 + 3b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3b = 0 + -6 3b = 0 + -6 Combine like terms: 0 + -6 = -6 3b = -6 Divide each side by '3'. b = -2 Simplifying b = -2
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