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Simplifying 9(8c + -10b) + 8 = 32 Reorder the terms: 9(-10b + 8c) + 8 = 32 (-10b * 9 + 8c * 9) + 8 = 32 (-90b + 72c) + 8 = 32 Reorder the terms: 8 + -90b + 72c = 32 Solving 8 + -90b + 72c = 32 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -90b + -8 + 72c = 32 + -8 Reorder the terms: 8 + -8 + -90b + 72c = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -90b + 72c = 32 + -8 -90b + 72c = 32 + -8 Combine like terms: 32 + -8 = 24 -90b + 72c = 24 Add '-72c' to each side of the equation. -90b + 72c + -72c = 24 + -72c Combine like terms: 72c + -72c = 0 -90b + 0 = 24 + -72c -90b = 24 + -72c Divide each side by '-90'. b = -0.2666666667 + 0.8c Simplifying b = -0.2666666667 + 0.8c
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