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Simplifying 3(6b + 4) = -6(b + -6) Reorder the terms: 3(4 + 6b) = -6(b + -6) (4 * 3 + 6b * 3) = -6(b + -6) (12 + 18b) = -6(b + -6) Reorder the terms: 12 + 18b = -6(-6 + b) 12 + 18b = (-6 * -6 + b * -6) 12 + 18b = (36 + -6b) Solving 12 + 18b = 36 + -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. 12 + 18b + 6b = 36 + -6b + 6b Combine like terms: 18b + 6b = 24b 12 + 24b = 36 + -6b + 6b Combine like terms: -6b + 6b = 0 12 + 24b = 36 + 0 12 + 24b = 36 Add '-12' to each side of the equation. 12 + -12 + 24b = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 24b = 36 + -12 24b = 36 + -12 Combine like terms: 36 + -12 = 24 24b = 24 Divide each side by '24'. b = 1 Simplifying b = 1
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