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Simplifying -4(6b + -6) + -1(b + 5) = -56 Reorder the terms: -4(-6 + 6b) + -1(b + 5) = -56 (-6 * -4 + 6b * -4) + -1(b + 5) = -56 (24 + -24b) + -1(b + 5) = -56 Reorder the terms: 24 + -24b + -1(5 + b) = -56 24 + -24b + (5 * -1 + b * -1) = -56 24 + -24b + (-5 + -1b) = -56 Reorder the terms: 24 + -5 + -24b + -1b = -56 Combine like terms: 24 + -5 = 19 19 + -24b + -1b = -56 Combine like terms: -24b + -1b = -25b 19 + -25b = -56 Solving 19 + -25b = -56 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -25b = -56 + -19 Combine like terms: 19 + -19 = 0 0 + -25b = -56 + -19 -25b = -56 + -19 Combine like terms: -56 + -19 = -75 -25b = -75 Divide each side by '-25'. b = 3 Simplifying b = 3
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