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Simplifying 2(b + -4) + -2(3b + -6) = 2(3b + -8) Reorder the terms: 2(-4 + b) + -2(3b + -6) = 2(3b + -8) (-4 * 2 + b * 2) + -2(3b + -6) = 2(3b + -8) (-8 + 2b) + -2(3b + -6) = 2(3b + -8) Reorder the terms: -8 + 2b + -2(-6 + 3b) = 2(3b + -8) -8 + 2b + (-6 * -2 + 3b * -2) = 2(3b + -8) -8 + 2b + (12 + -6b) = 2(3b + -8) Reorder the terms: -8 + 12 + 2b + -6b = 2(3b + -8) Combine like terms: -8 + 12 = 4 4 + 2b + -6b = 2(3b + -8) Combine like terms: 2b + -6b = -4b 4 + -4b = 2(3b + -8) Reorder the terms: 4 + -4b = 2(-8 + 3b) 4 + -4b = (-8 * 2 + 3b * 2) 4 + -4b = (-16 + 6b) Solving 4 + -4b = -16 + 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. 4 + -4b + -6b = -16 + 6b + -6b Combine like terms: -4b + -6b = -10b 4 + -10b = -16 + 6b + -6b Combine like terms: 6b + -6b = 0 4 + -10b = -16 + 0 4 + -10b = -16 Add '-4' to each side of the equation. 4 + -4 + -10b = -16 + -4 Combine like terms: 4 + -4 = 0 0 + -10b = -16 + -4 -10b = -16 + -4 Combine like terms: -16 + -4 = -20 -10b = -20 Divide each side by '-10'. b = 2 Simplifying b = 2
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