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Simplifying -24 + 5b = 8(9b + -7) Reorder the terms: -24 + 5b = 8(-7 + 9b) -24 + 5b = (-7 * 8 + 9b * 8) -24 + 5b = (-56 + 72b) Solving -24 + 5b = -56 + 72b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-72b' to each side of the equation. -24 + 5b + -72b = -56 + 72b + -72b Combine like terms: 5b + -72b = -67b -24 + -67b = -56 + 72b + -72b Combine like terms: 72b + -72b = 0 -24 + -67b = -56 + 0 -24 + -67b = -56 Add '24' to each side of the equation. -24 + 24 + -67b = -56 + 24 Combine like terms: -24 + 24 = 0 0 + -67b = -56 + 24 -67b = -56 + 24 Combine like terms: -56 + 24 = -32 -67b = -32 Divide each side by '-67'. b = 0.4776119403 Simplifying b = 0.4776119403
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