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Simplifying -4(b + 7) = -12b + 36 Reorder the terms: -4(7 + b) = -12b + 36 (7 * -4 + b * -4) = -12b + 36 (-28 + -4b) = -12b + 36 Reorder the terms: -28 + -4b = 36 + -12b Solving -28 + -4b = 36 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. -28 + -4b + 12b = 36 + -12b + 12b Combine like terms: -4b + 12b = 8b -28 + 8b = 36 + -12b + 12b Combine like terms: -12b + 12b = 0 -28 + 8b = 36 + 0 -28 + 8b = 36 Add '28' to each side of the equation. -28 + 28 + 8b = 36 + 28 Combine like terms: -28 + 28 = 0 0 + 8b = 36 + 28 8b = 36 + 28 Combine like terms: 36 + 28 = 64 8b = 64 Divide each side by '8'. b = 8 Simplifying b = 8
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