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Simplifying 6(b + -2) = 2(2b + 8) Reorder the terms: 6(-2 + b) = 2(2b + 8) (-2 * 6 + b * 6) = 2(2b + 8) (-12 + 6b) = 2(2b + 8) Reorder the terms: -12 + 6b = 2(8 + 2b) -12 + 6b = (8 * 2 + 2b * 2) -12 + 6b = (16 + 4b) Solving -12 + 6b = 16 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -12 + 6b + -4b = 16 + 4b + -4b Combine like terms: 6b + -4b = 2b -12 + 2b = 16 + 4b + -4b Combine like terms: 4b + -4b = 0 -12 + 2b = 16 + 0 -12 + 2b = 16 Add '12' to each side of the equation. -12 + 12 + 2b = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 2b = 16 + 12 2b = 16 + 12 Combine like terms: 16 + 12 = 28 2b = 28 Divide each side by '2'. b = 14 Simplifying b = 14
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