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Simplifying 6(3b + 2) = 2(4b + -4) Reorder the terms: 6(2 + 3b) = 2(4b + -4) (2 * 6 + 3b * 6) = 2(4b + -4) (12 + 18b) = 2(4b + -4) Reorder the terms: 12 + 18b = 2(-4 + 4b) 12 + 18b = (-4 * 2 + 4b * 2) 12 + 18b = (-8 + 8b) Solving 12 + 18b = -8 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 12 + 18b + -8b = -8 + 8b + -8b Combine like terms: 18b + -8b = 10b 12 + 10b = -8 + 8b + -8b Combine like terms: 8b + -8b = 0 12 + 10b = -8 + 0 12 + 10b = -8 Add '-12' to each side of the equation. 12 + -12 + 10b = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 10b = -8 + -12 10b = -8 + -12 Combine like terms: -8 + -12 = -20 10b = -20 Divide each side by '10'. b = -2 Simplifying b = -2
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