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Simplifying 17 + -5b = 6(8b + 2) Reorder the terms: 17 + -5b = 6(2 + 8b) 17 + -5b = (2 * 6 + 8b * 6) 17 + -5b = (12 + 48b) Solving 17 + -5b = 12 + 48b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-48b' to each side of the equation. 17 + -5b + -48b = 12 + 48b + -48b Combine like terms: -5b + -48b = -53b 17 + -53b = 12 + 48b + -48b Combine like terms: 48b + -48b = 0 17 + -53b = 12 + 0 17 + -53b = 12 Add '-17' to each side of the equation. 17 + -17 + -53b = 12 + -17 Combine like terms: 17 + -17 = 0 0 + -53b = 12 + -17 -53b = 12 + -17 Combine like terms: 12 + -17 = -5 -53b = -5 Divide each side by '-53'. b = 0.09433962264 Simplifying b = 0.09433962264
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