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Simplifying -5(1 + -6b) + 6b = -36 + 5b (1 * -5 + -6b * -5) + 6b = -36 + 5b (-5 + 30b) + 6b = -36 + 5b Combine like terms: 30b + 6b = 36b -5 + 36b = -36 + 5b Solving -5 + 36b = -36 + 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. -5 + 36b + -5b = -36 + 5b + -5b Combine like terms: 36b + -5b = 31b -5 + 31b = -36 + 5b + -5b Combine like terms: 5b + -5b = 0 -5 + 31b = -36 + 0 -5 + 31b = -36 Add '5' to each side of the equation. -5 + 5 + 31b = -36 + 5 Combine like terms: -5 + 5 = 0 0 + 31b = -36 + 5 31b = -36 + 5 Combine like terms: -36 + 5 = -31 31b = -31 Divide each side by '31'. b = -1 Simplifying b = -1
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