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Simplifying 9(8b + -5) + 13 = 12d + -2 Reorder the terms: 9(-5 + 8b) + 13 = 12d + -2 (-5 * 9 + 8b * 9) + 13 = 12d + -2 (-45 + 72b) + 13 = 12d + -2 Reorder the terms: -45 + 13 + 72b = 12d + -2 Combine like terms: -45 + 13 = -32 -32 + 72b = 12d + -2 Reorder the terms: -32 + 72b = -2 + 12d Solving -32 + 72b = -2 + 12d Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 72b = -2 + 32 + 12d Combine like terms: -32 + 32 = 0 0 + 72b = -2 + 32 + 12d 72b = -2 + 32 + 12d Combine like terms: -2 + 32 = 30 72b = 30 + 12d Divide each side by '72'. b = 0.4166666667 + 0.1666666667d Simplifying b = 0.4166666667 + 0.1666666667d
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