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Simplifying 2(9b + -4) + 9 + -7(4 + 2b) = 0 Reorder the terms: 2(-4 + 9b) + 9 + -7(4 + 2b) = 0 (-4 * 2 + 9b * 2) + 9 + -7(4 + 2b) = 0 (-8 + 18b) + 9 + -7(4 + 2b) = 0 -8 + 18b + 9 + (4 * -7 + 2b * -7) = 0 -8 + 18b + 9 + (-28 + -14b) = 0 Reorder the terms: -8 + 9 + -28 + 18b + -14b = 0 Combine like terms: -8 + 9 = 1 1 + -28 + 18b + -14b = 0 Combine like terms: 1 + -28 = -27 -27 + 18b + -14b = 0 Combine like terms: 18b + -14b = 4b -27 + 4b = 0 Solving -27 + 4b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 4b = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 4b = 0 + 27 4b = 0 + 27 Combine like terms: 0 + 27 = 27 4b = 27 Divide each side by '4'. b = 6.75 Simplifying b = 6.75
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