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Simplifying 5b + 6(-10 + 9b) = 10b + 38 5b + (-10 * 6 + 9b * 6) = 10b + 38 5b + (-60 + 54b) = 10b + 38 Reorder the terms: -60 + 5b + 54b = 10b + 38 Combine like terms: 5b + 54b = 59b -60 + 59b = 10b + 38 Reorder the terms: -60 + 59b = 38 + 10b Solving -60 + 59b = 38 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -60 + 59b + -10b = 38 + 10b + -10b Combine like terms: 59b + -10b = 49b -60 + 49b = 38 + 10b + -10b Combine like terms: 10b + -10b = 0 -60 + 49b = 38 + 0 -60 + 49b = 38 Add '60' to each side of the equation. -60 + 60 + 49b = 38 + 60 Combine like terms: -60 + 60 = 0 0 + 49b = 38 + 60 49b = 38 + 60 Combine like terms: 38 + 60 = 98 49b = 98 Divide each side by '49'. b = 2 Simplifying b = 2
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