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Simplifying -4(8 + -1b) = 2(b + -3) + -2 (8 * -4 + -1b * -4) = 2(b + -3) + -2 (-32 + 4b) = 2(b + -3) + -2 Reorder the terms: -32 + 4b = 2(-3 + b) + -2 -32 + 4b = (-3 * 2 + b * 2) + -2 -32 + 4b = (-6 + 2b) + -2 Reorder the terms: -32 + 4b = -6 + -2 + 2b Combine like terms: -6 + -2 = -8 -32 + 4b = -8 + 2b Solving -32 + 4b = -8 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -32 + 4b + -2b = -8 + 2b + -2b Combine like terms: 4b + -2b = 2b -32 + 2b = -8 + 2b + -2b Combine like terms: 2b + -2b = 0 -32 + 2b = -8 + 0 -32 + 2b = -8 Add '32' to each side of the equation. -32 + 32 + 2b = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 2b = -8 + 32 2b = -8 + 32 Combine like terms: -8 + 32 = 24 2b = 24 Divide each side by '2'. b = 12 Simplifying b = 12
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