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Simplifying -4(2 + -6b) = 8(b + 7) (2 * -4 + -6b * -4) = 8(b + 7) (-8 + 24b) = 8(b + 7) Reorder the terms: -8 + 24b = 8(7 + b) -8 + 24b = (7 * 8 + b * 8) -8 + 24b = (56 + 8b) Solving -8 + 24b = 56 + 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 + 24b + -8b = 56 + 8b + -8b Combine like terms: 24b + -8b = 16b -8 + 16b = 56 + 8b + -8b Combine like terms: 8b + -8b = 0 -8 + 16b = 56 + 0 -8 + 16b = 56 Add '8' to each side of the equation. -8 + 8 + 16b = 56 + 8 Combine like terms: -8 + 8 = 0 0 + 16b = 56 + 8 16b = 56 + 8 Combine like terms: 56 + 8 = 64 16b = 64 Divide each side by '16'. b = 4 Simplifying b = 4
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