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Simplifying -3(-3w + 3) + 2(4b + -3w) = 0 Reorder the terms: -3(3 + -3w) + 2(4b + -3w) = 0 (3 * -3 + -3w * -3) + 2(4b + -3w) = 0 (-9 + 9w) + 2(4b + -3w) = 0 -9 + 9w + (4b * 2 + -3w * 2) = 0 -9 + 9w + (8b + -6w) = 0 Reorder the terms: -9 + 8b + 9w + -6w = 0 Combine like terms: 9w + -6w = 3w -9 + 8b + 3w = 0 Solving -9 + 8b + 3w = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 8b + 9 + 3w = 0 + 9 Reorder the terms: -9 + 9 + 8b + 3w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8b + 3w = 0 + 9 8b + 3w = 0 + 9 Combine like terms: 0 + 9 = 9 8b + 3w = 9 Add '-3w' to each side of the equation. 8b + 3w + -3w = 9 + -3w Combine like terms: 3w + -3w = 0 8b + 0 = 9 + -3w 8b = 9 + -3w Divide each side by '8'. b = 1.125 + -0.375w Simplifying b = 1.125 + -0.375w
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