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Simplifying -4(5b + 7) = 4 + -4b Reorder the terms: -4(7 + 5b) = 4 + -4b (7 * -4 + 5b * -4) = 4 + -4b (-28 + -20b) = 4 + -4b Solving -28 + -20b = 4 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -28 + -20b + 4b = 4 + -4b + 4b Combine like terms: -20b + 4b = -16b -28 + -16b = 4 + -4b + 4b Combine like terms: -4b + 4b = 0 -28 + -16b = 4 + 0 -28 + -16b = 4 Add '28' to each side of the equation. -28 + 28 + -16b = 4 + 28 Combine like terms: -28 + 28 = 0 0 + -16b = 4 + 28 -16b = 4 + 28 Combine like terms: 4 + 28 = 32 -16b = 32 Divide each side by '-16'. b = -2 Simplifying b = -2
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