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Simplifying 9(2b + -4) = 6(b + 2) Reorder the terms: 9(-4 + 2b) = 6(b + 2) (-4 * 9 + 2b * 9) = 6(b + 2) (-36 + 18b) = 6(b + 2) Reorder the terms: -36 + 18b = 6(2 + b) -36 + 18b = (2 * 6 + b * 6) -36 + 18b = (12 + 6b) Solving -36 + 18b = 12 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -36 + 18b + -6b = 12 + 6b + -6b Combine like terms: 18b + -6b = 12b -36 + 12b = 12 + 6b + -6b Combine like terms: 6b + -6b = 0 -36 + 12b = 12 + 0 -36 + 12b = 12 Add '36' to each side of the equation. -36 + 36 + 12b = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 12b = 12 + 36 12b = 12 + 36 Combine like terms: 12 + 36 = 48 12b = 48 Divide each side by '12'. b = 4 Simplifying b = 4
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