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Simplifying -2(b + 4) = -6b + 8(b + 4) Reorder the terms: -2(4 + b) = -6b + 8(b + 4) (4 * -2 + b * -2) = -6b + 8(b + 4) (-8 + -2b) = -6b + 8(b + 4) Reorder the terms: -8 + -2b = -6b + 8(4 + b) -8 + -2b = -6b + (4 * 8 + b * 8) -8 + -2b = -6b + (32 + 8b) Reorder the terms: -8 + -2b = 32 + -6b + 8b Combine like terms: -6b + 8b = 2b -8 + -2b = 32 + 2b Solving -8 + -2b = 32 + 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. -8 + -2b + -2b = 32 + 2b + -2b Combine like terms: -2b + -2b = -4b -8 + -4b = 32 + 2b + -2b Combine like terms: 2b + -2b = 0 -8 + -4b = 32 + 0 -8 + -4b = 32 Add '8' to each side of the equation. -8 + 8 + -4b = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -4b = 32 + 8 -4b = 32 + 8 Combine like terms: 32 + 8 = 40 -4b = 40 Divide each side by '-4'. b = -10 Simplifying b = -10
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