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Simplifying -18(3b + -1) + -9(11 + -4b) = 0 Reorder the terms: -18(-1 + 3b) + -9(11 + -4b) = 0 (-1 * -18 + 3b * -18) + -9(11 + -4b) = 0 (18 + -54b) + -9(11 + -4b) = 0 18 + -54b + (11 * -9 + -4b * -9) = 0 18 + -54b + (-99 + 36b) = 0 Reorder the terms: 18 + -99 + -54b + 36b = 0 Combine like terms: 18 + -99 = -81 -81 + -54b + 36b = 0 Combine like terms: -54b + 36b = -18b -81 + -18b = 0 Solving -81 + -18b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + -18b = 0 + 81 Combine like terms: -81 + 81 = 0 0 + -18b = 0 + 81 -18b = 0 + 81 Combine like terms: 0 + 81 = 81 -18b = 81 Divide each side by '-18'. b = -4.5 Simplifying b = -4.5
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