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Simplifying b + -3(b + -4(1 + -1b)) = 54 b + -3(b + (1 * -4 + -1b * -4)) = 54 b + -3(b + (-4 + 4b)) = 54 Reorder the terms: b + -3(-4 + b + 4b) = 54 Combine like terms: b + 4b = 5b b + -3(-4 + 5b) = 54 b + (-4 * -3 + 5b * -3) = 54 b + (12 + -15b) = 54 Reorder the terms: 12 + b + -15b = 54 Combine like terms: b + -15b = -14b 12 + -14b = 54 Solving 12 + -14b = 54 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -14b = 54 + -12 Combine like terms: 12 + -12 = 0 0 + -14b = 54 + -12 -14b = 54 + -12 Combine like terms: 54 + -12 = 42 -14b = 42 Divide each side by '-14'. b = -3 Simplifying b = -3
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