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Simplifying -1(5b + 4) + 4b = 6(1 + 9b) + -10 Reorder the terms: -1(4 + 5b) + 4b = 6(1 + 9b) + -10 (4 * -1 + 5b * -1) + 4b = 6(1 + 9b) + -10 (-4 + -5b) + 4b = 6(1 + 9b) + -10 Combine like terms: -5b + 4b = -1b -4 + -1b = 6(1 + 9b) + -10 -4 + -1b = (1 * 6 + 9b * 6) + -10 -4 + -1b = (6 + 54b) + -10 Reorder the terms: -4 + -1b = 6 + -10 + 54b Combine like terms: 6 + -10 = -4 -4 + -1b = -4 + 54b Add '4' to each side of the equation. -4 + 4 + -1b = -4 + 4 + 54b Combine like terms: -4 + 4 = 0 0 + -1b = -4 + 4 + 54b -1b = -4 + 4 + 54b Combine like terms: -4 + 4 = 0 -1b = 0 + 54b -1b = 54b Solving -1b = 54b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-54b' to each side of the equation. -1b + -54b = 54b + -54b Combine like terms: -1b + -54b = -55b -55b = 54b + -54b Combine like terms: 54b + -54b = 0 -55b = 0 Divide each side by '-55'. b = 0 Simplifying b = 0
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