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Simplifying 6(4 + 3b) + 3b = -30 + -6b (4 * 6 + 3b * 6) + 3b = -30 + -6b (24 + 18b) + 3b = -30 + -6b Combine like terms: 18b + 3b = 21b 24 + 21b = -30 + -6b Solving 24 + 21b = -30 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 24 + 21b + 6b = -30 + -6b + 6b Combine like terms: 21b + 6b = 27b 24 + 27b = -30 + -6b + 6b Combine like terms: -6b + 6b = 0 24 + 27b = -30 + 0 24 + 27b = -30 Add '-24' to each side of the equation. 24 + -24 + 27b = -30 + -24 Combine like terms: 24 + -24 = 0 0 + 27b = -30 + -24 27b = -30 + -24 Combine like terms: -30 + -24 = -54 27b = -54 Divide each side by '27'. b = -2 Simplifying b = -2
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