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Simplifying 4(b + 2) + -2(b + 8) = 28 Reorder the terms: 4(2 + b) + -2(b + 8) = 28 (2 * 4 + b * 4) + -2(b + 8) = 28 (8 + 4b) + -2(b + 8) = 28 Reorder the terms: 8 + 4b + -2(8 + b) = 28 8 + 4b + (8 * -2 + b * -2) = 28 8 + 4b + (-16 + -2b) = 28 Reorder the terms: 8 + -16 + 4b + -2b = 28 Combine like terms: 8 + -16 = -8 -8 + 4b + -2b = 28 Combine like terms: 4b + -2b = 2b -8 + 2b = 28 Solving -8 + 2b = 28 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2b = 28 + 8 Combine like terms: -8 + 8 = 0 0 + 2b = 28 + 8 2b = 28 + 8 Combine like terms: 28 + 8 = 36 2b = 36 Divide each side by '2'. b = 18 Simplifying b = 18
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