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Simplifying -16.5 + 6.5b = 9(7.5b + 5.5) Reorder the terms: -16.5 + 6.5b = 9(5.5 + 7.5b) -16.5 + 6.5b = (5.5 * 9 + 7.5b * 9) -16.5 + 6.5b = (49.5 + 67.5b) Solving -16.5 + 6.5b = 49.5 + 67.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-67.5b' to each side of the equation. -16.5 + 6.5b + -67.5b = 49.5 + 67.5b + -67.5b Combine like terms: 6.5b + -67.5b = -61b -16.5 + -61b = 49.5 + 67.5b + -67.5b Combine like terms: 67.5b + -67.5b = 0.0 -16.5 + -61b = 49.5 + 0.0 -16.5 + -61b = 49.5 Add '16.5' to each side of the equation. -16.5 + 16.5 + -61b = 49.5 + 16.5 Combine like terms: -16.5 + 16.5 = 0.0 0.0 + -61b = 49.5 + 16.5 -61b = 49.5 + 16.5 Combine like terms: 49.5 + 16.5 = 66 -61b = 66 Divide each side by '-61'. b = -1.081967213 Simplifying b = -1.081967213
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