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Simplifying 8 + -2(b + 1) = 12 + -36 Reorder the terms: 8 + -2(1 + b) = 12 + -36 8 + (1 * -2 + b * -2) = 12 + -36 8 + (-2 + -2b) = 12 + -36 Combine like terms: 8 + -2 = 6 6 + -2b = 12 + -36 Combine like terms: 12 + -36 = -24 6 + -2b = -24 Solving 6 + -2b = -24 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -2b = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -2b = -24 + -6 -2b = -24 + -6 Combine like terms: -24 + -6 = -30 -2b = -30 Divide each side by '-2'. b = 15 Simplifying b = 15
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