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Simplifying 6b + -4(2b + 8) = 21 Reorder the terms: 6b + -4(8 + 2b) = 21 6b + (8 * -4 + 2b * -4) = 21 6b + (-32 + -8b) = 21 Reorder the terms: -32 + 6b + -8b = 21 Combine like terms: 6b + -8b = -2b -32 + -2b = 21 Solving -32 + -2b = 21 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -2b = 21 + 32 Combine like terms: -32 + 32 = 0 0 + -2b = 21 + 32 -2b = 21 + 32 Combine like terms: 21 + 32 = 53 -2b = 53 Divide each side by '-2'. b = -26.5 Simplifying b = -26.5
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