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Simplifying -4(5b + 9) = 2(8b + 2) + 4b Reorder the terms: -4(9 + 5b) = 2(8b + 2) + 4b (9 * -4 + 5b * -4) = 2(8b + 2) + 4b (-36 + -20b) = 2(8b + 2) + 4b Reorder the terms: -36 + -20b = 2(2 + 8b) + 4b -36 + -20b = (2 * 2 + 8b * 2) + 4b -36 + -20b = (4 + 16b) + 4b Combine like terms: 16b + 4b = 20b -36 + -20b = 4 + 20b Solving -36 + -20b = 4 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. -36 + -20b + -20b = 4 + 20b + -20b Combine like terms: -20b + -20b = -40b -36 + -40b = 4 + 20b + -20b Combine like terms: 20b + -20b = 0 -36 + -40b = 4 + 0 -36 + -40b = 4 Add '36' to each side of the equation. -36 + 36 + -40b = 4 + 36 Combine like terms: -36 + 36 = 0 0 + -40b = 4 + 36 -40b = 4 + 36 Combine like terms: 4 + 36 = 40 -40b = 40 Divide each side by '-40'. b = -1 Simplifying b = -1
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