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Simplifying 10(b + 2) + -4(2b + 8) = 0 Reorder the terms: 10(2 + b) + -4(2b + 8) = 0 (2 * 10 + b * 10) + -4(2b + 8) = 0 (20 + 10b) + -4(2b + 8) = 0 Reorder the terms: 20 + 10b + -4(8 + 2b) = 0 20 + 10b + (8 * -4 + 2b * -4) = 0 20 + 10b + (-32 + -8b) = 0 Reorder the terms: 20 + -32 + 10b + -8b = 0 Combine like terms: 20 + -32 = -12 -12 + 10b + -8b = 0 Combine like terms: 10b + -8b = 2b -12 + 2b = 0 Solving -12 + 2b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2b = 0 + 12 2b = 0 + 12 Combine like terms: 0 + 12 = 12 2b = 12 Divide each side by '2'. b = 6 Simplifying b = 6
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