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Simplifying -8(b + 4) + -2b = -1(-2b + 8) Reorder the terms: -8(4 + b) + -2b = -1(-2b + 8) (4 * -8 + b * -8) + -2b = -1(-2b + 8) (-32 + -8b) + -2b = -1(-2b + 8) Combine like terms: -8b + -2b = -10b -32 + -10b = -1(-2b + 8) Reorder the terms: -32 + -10b = -1(8 + -2b) -32 + -10b = (8 * -1 + -2b * -1) -32 + -10b = (-8 + 2b) Solving -32 + -10b = -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 + -10b + -2b = -8 + 2b + -2b Combine like terms: -10b + -2b = -12b -32 + -12b = -8 + 2b + -2b Combine like terms: 2b + -2b = 0 -32 + -12b = -8 + 0 -32 + -12b = -8 Add '32' to each side of the equation. -32 + 32 + -12b = -8 + 32 Combine like terms: -32 + 32 = 0 0 + -12b = -8 + 32 -12b = -8 + 32 Combine like terms: -8 + 32 = 24 -12b = 24 Divide each side by '-12'. b = -2 Simplifying b = -2
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