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Simplifying -7b + -4(1 + 5b) = -4 + -5b -7b + (1 * -4 + 5b * -4) = -4 + -5b -7b + (-4 + -20b) = -4 + -5b Reorder the terms: -4 + -7b + -20b = -4 + -5b Combine like terms: -7b + -20b = -27b -4 + -27b = -4 + -5b Add '4' to each side of the equation. -4 + 4 + -27b = -4 + 4 + -5b Combine like terms: -4 + 4 = 0 0 + -27b = -4 + 4 + -5b -27b = -4 + 4 + -5b Combine like terms: -4 + 4 = 0 -27b = 0 + -5b -27b = -5b Solving -27b = -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -27b + 5b = -5b + 5b Combine like terms: -27b + 5b = -22b -22b = -5b + 5b Combine like terms: -5b + 5b = 0 -22b = 0 Divide each side by '-22'. b = 0 Simplifying b = 0
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