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Simplifying -4(1 + -3b) = 21 + 7b (1 * -4 + -3b * -4) = 21 + 7b (-4 + 12b) = 21 + 7b Solving -4 + 12b = 21 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -4 + 12b + -7b = 21 + 7b + -7b Combine like terms: 12b + -7b = 5b -4 + 5b = 21 + 7b + -7b Combine like terms: 7b + -7b = 0 -4 + 5b = 21 + 0 -4 + 5b = 21 Add '4' to each side of the equation. -4 + 4 + 5b = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 5b = 21 + 4 5b = 21 + 4 Combine like terms: 21 + 4 = 25 5b = 25 Divide each side by '5'. b = 5 Simplifying b = 5
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