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Simplifying 32 + 8b = -8(1 + -2b) + 2b 32 + 8b = (1 * -8 + -2b * -8) + 2b 32 + 8b = (-8 + 16b) + 2b Combine like terms: 16b + 2b = 18b 32 + 8b = -8 + 18b Solving 32 + 8b = -8 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. 32 + 8b + -18b = -8 + 18b + -18b Combine like terms: 8b + -18b = -10b 32 + -10b = -8 + 18b + -18b Combine like terms: 18b + -18b = 0 32 + -10b = -8 + 0 32 + -10b = -8 Add '-32' to each side of the equation. 32 + -32 + -10b = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -10b = -8 + -32 -10b = -8 + -32 Combine like terms: -8 + -32 = -40 -10b = -40 Divide each side by '-10'. b = 4 Simplifying b = 4
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