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Simplifying 54(b + -7) = 9(b + -87) Reorder the terms: 54(-7 + b) = 9(b + -87) (-7 * 54 + b * 54) = 9(b + -87) (-378 + 54b) = 9(b + -87) Reorder the terms: -378 + 54b = 9(-87 + b) -378 + 54b = (-87 * 9 + b * 9) -378 + 54b = (-783 + 9b) Solving -378 + 54b = -783 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. -378 + 54b + -9b = -783 + 9b + -9b Combine like terms: 54b + -9b = 45b -378 + 45b = -783 + 9b + -9b Combine like terms: 9b + -9b = 0 -378 + 45b = -783 + 0 -378 + 45b = -783 Add '378' to each side of the equation. -378 + 378 + 45b = -783 + 378 Combine like terms: -378 + 378 = 0 0 + 45b = -783 + 378 45b = -783 + 378 Combine like terms: -783 + 378 = -405 45b = -405 Divide each side by '45'. b = -9 Simplifying b = -9
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