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Simplifying -5[b + -5] + -2[2b + 1] = -4 Reorder the terms: -5[-5 + b] + -2[2b + 1] = -4 [-5 * -5 + b * -5] + -2[2b + 1] = -4 [25 + -5b] + -2[2b + 1] = -4 Reorder the terms: 25 + -5b + -2[1 + 2b] = -4 25 + -5b + [1 * -2 + 2b * -2] = -4 25 + -5b + [-2 + -4b] = -4 Reorder the terms: 25 + -2 + -5b + -4b = -4 Combine like terms: 25 + -2 = 23 23 + -5b + -4b = -4 Combine like terms: -5b + -4b = -9b 23 + -9b = -4 Solving 23 + -9b = -4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -9b = -4 + -23 Combine like terms: 23 + -23 = 0 0 + -9b = -4 + -23 -9b = -4 + -23 Combine like terms: -4 + -23 = -27 -9b = -27 Divide each side by '-9'. b = 3 Simplifying b = 3
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