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Simplifying 9(2 + w) + -4wb = 3w + -10 (2 * 9 + w * 9) + -4wb = 3w + -10 (18 + 9w) + -4wb = 3w + -10 Reorder the terms: 18 + -4bw + 9w = 3w + -10 Reorder the terms: 18 + -4bw + 9w = -10 + 3w Solving 18 + -4bw + 9w = -10 + 3w Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -4bw + -18 + 9w = -10 + -18 + 3w Reorder the terms: 18 + -18 + -4bw + 9w = -10 + -18 + 3w Combine like terms: 18 + -18 = 0 0 + -4bw + 9w = -10 + -18 + 3w -4bw + 9w = -10 + -18 + 3w Combine like terms: -10 + -18 = -28 -4bw + 9w = -28 + 3w Add '-9w' to each side of the equation. -4bw + 9w + -9w = -28 + 3w + -9w Combine like terms: 9w + -9w = 0 -4bw + 0 = -28 + 3w + -9w -4bw = -28 + 3w + -9w Combine like terms: 3w + -9w = -6w -4bw = -28 + -6w Divide each side by '-4w'. b = 7w-1 + 1.5 Simplifying b = 7w-1 + 1.5 Reorder the terms: b = 1.5 + 7w-1
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