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Simplifying -7(4 + -1b) = 3(b + 4) (4 * -7 + -1b * -7) = 3(b + 4) (-28 + 7b) = 3(b + 4) Reorder the terms: -28 + 7b = 3(4 + b) -28 + 7b = (4 * 3 + b * 3) -28 + 7b = (12 + 3b) Solving -28 + 7b = 12 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -28 + 7b + -3b = 12 + 3b + -3b Combine like terms: 7b + -3b = 4b -28 + 4b = 12 + 3b + -3b Combine like terms: 3b + -3b = 0 -28 + 4b = 12 + 0 -28 + 4b = 12 Add '28' to each side of the equation. -28 + 28 + 4b = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 4b = 12 + 28 4b = 12 + 28 Combine like terms: 12 + 28 = 40 4b = 40 Divide each side by '4'. b = 10 Simplifying b = 10
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