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Simplifying -6(b + 2) + b + -2(-4b + 6) = 0 Reorder the terms: -6(2 + b) + b + -2(-4b + 6) = 0 (2 * -6 + b * -6) + b + -2(-4b + 6) = 0 (-12 + -6b) + b + -2(-4b + 6) = 0 Reorder the terms: -12 + -6b + b + -2(6 + -4b) = 0 -12 + -6b + b + (6 * -2 + -4b * -2) = 0 -12 + -6b + b + (-12 + 8b) = 0 Reorder the terms: -12 + -12 + -6b + b + 8b = 0 Combine like terms: -12 + -12 = -24 -24 + -6b + b + 8b = 0 Combine like terms: -6b + b = -5b -24 + -5b + 8b = 0 Combine like terms: -5b + 8b = 3b -24 + 3b = 0 Solving -24 + 3b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 3b = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 3b = 0 + 24 3b = 0 + 24 Combine like terms: 0 + 24 = 24 3b = 24 Divide each side by '3'. b = 8 Simplifying b = 8
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