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Simplifying 4(-7 + 5b) = 20 + 4b (-7 * 4 + 5b * 4) = 20 + 4b (-28 + 20b) = 20 + 4b Solving -28 + 20b = 20 + 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 = 20 + 4b + -4b Combine like terms: 20b + -4b = 16b -28 + 16b = 20 + 4b + -4b Combine like terms: 4b + -4b = 0 -28 + 16b = 20 + 0 -28 + 16b = 20 Add '28' to each side of the equation. -28 + 28 + 16b = 20 + 28 Combine like terms: -28 + 28 = 0 0 + 16b = 20 + 28 16b = 20 + 28 Combine like terms: 20 + 28 = 48 16b = 48 Divide each side by '16'. b = 3 Simplifying b = 3
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