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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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