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Simplifying -7(2 + -2) + -6(b + -4) = -54 Combine like terms: 2 + -2 = 0 -7(0) + -6(b + -4) = -54 Multiply -7 * 0 0 + -6(b + -4) = -54 Anything times zero is zero. 0 + -6(b + -4) = -54 Reorder the terms: 0 + -6(-4 + b) = -54 0 + (-4 * -6 + b * -6) = -54 0 + (24 + -6b) = -54 Combine like terms: 0 + 24 = 24 24 + -6b = -54 Solving 24 + -6b = -54 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -6b = -54 + -24 Combine like terms: 24 + -24 = 0 0 + -6b = -54 + -24 -6b = -54 + -24 Combine like terms: -54 + -24 = -78 -6b = -78 Divide each side by '-6'. b = 13 Simplifying b = 13
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