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Simplifying -7(2 + -22b) + -6(b + -4) = -54 (2 * -7 + -22b * -7) + -6(b + -4) = -54 (-14 + 154b) + -6(b + -4) = -54 Reorder the terms: -14 + 154b + -6(-4 + b) = -54 -14 + 154b + (-4 * -6 + b * -6) = -54 -14 + 154b + (24 + -6b) = -54 Reorder the terms: -14 + 24 + 154b + -6b = -54 Combine like terms: -14 + 24 = 10 10 + 154b + -6b = -54 Combine like terms: 154b + -6b = 148b 10 + 148b = -54 Solving 10 + 148b = -54 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 148b = -54 + -10 Combine like terms: 10 + -10 = 0 0 + 148b = -54 + -10 148b = -54 + -10 Combine like terms: -54 + -10 = -64 148b = -64 Divide each side by '148'. b = -0.4324324324 Simplifying b = -0.4324324324
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