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