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Simplifying 2(4b + -8) = -5(4b + -8) Reorder the terms: 2(-8 + 4b) = -5(4b + -8) (-8 * 2 + 4b * 2) = -5(4b + -8) (-16 + 8b) = -5(4b + -8) Reorder the terms: -16 + 8b = -5(-8 + 4b) -16 + 8b = (-8 * -5 + 4b * -5) -16 + 8b = (40 + -20b) Solving -16 + 8b = 40 + -20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20b' to each side of the equation. -16 + 8b + 20b = 40 + -20b + 20b Combine like terms: 8b + 20b = 28b -16 + 28b = 40 + -20b + 20b Combine like terms: -20b + 20b = 0 -16 + 28b = 40 + 0 -16 + 28b = 40 Add '16' to each side of the equation. -16 + 16 + 28b = 40 + 16 Combine like terms: -16 + 16 = 0 0 + 28b = 40 + 16 28b = 40 + 16 Combine like terms: 40 + 16 = 56 28b = 56 Divide each side by '28'. b = 2 Simplifying b = 2
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