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Simplifying 4b + 2(b + -4) = 8(b + 3) Reorder the terms: 4b + 2(-4 + b) = 8(b + 3) 4b + (-4 * 2 + b * 2) = 8(b + 3) 4b + (-8 + 2b) = 8(b + 3) Reorder the terms: -8 + 4b + 2b = 8(b + 3) Combine like terms: 4b + 2b = 6b -8 + 6b = 8(b + 3) Reorder the terms: -8 + 6b = 8(3 + b) -8 + 6b = (3 * 8 + b * 8) -8 + 6b = (24 + 8b) Solving -8 + 6b = 24 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -8 + 6b + -8b = 24 + 8b + -8b Combine like terms: 6b + -8b = -2b -8 + -2b = 24 + 8b + -8b Combine like terms: 8b + -8b = 0 -8 + -2b = 24 + 0 -8 + -2b = 24 Add '8' to each side of the equation. -8 + 8 + -2b = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -2b = 24 + 8 -2b = 24 + 8 Combine like terms: 24 + 8 = 32 -2b = 32 Divide each side by '-2'. b = -16 Simplifying b = -16
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