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Simplifying -6(6b + -2) + -5b = -5b + -24 Reorder the terms: -6(-2 + 6b) + -5b = -5b + -24 (-2 * -6 + 6b * -6) + -5b = -5b + -24 (12 + -36b) + -5b = -5b + -24 Combine like terms: -36b + -5b = -41b 12 + -41b = -5b + -24 Reorder the terms: 12 + -41b = -24 + -5b Solving 12 + -41b = -24 + -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. 12 + -41b + 5b = -24 + -5b + 5b Combine like terms: -41b + 5b = -36b 12 + -36b = -24 + -5b + 5b Combine like terms: -5b + 5b = 0 12 + -36b = -24 + 0 12 + -36b = -24 Add '-12' to each side of the equation. 12 + -12 + -36b = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -36b = -24 + -12 -36b = -24 + -12 Combine like terms: -24 + -12 = -36 -36b = -36 Divide each side by '-36'. b = 1 Simplifying b = 1
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