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Simplifying 2(12 + -16b) = 4(-8 + -10b) (12 * 2 + -16b * 2) = 4(-8 + -10b) (24 + -32b) = 4(-8 + -10b) 24 + -32b = (-8 * 4 + -10b * 4) 24 + -32b = (-32 + -40b) Solving 24 + -32b = -32 + -40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40b' to each side of the equation. 24 + -32b + 40b = -32 + -40b + 40b Combine like terms: -32b + 40b = 8b 24 + 8b = -32 + -40b + 40b Combine like terms: -40b + 40b = 0 24 + 8b = -32 + 0 24 + 8b = -32 Add '-24' to each side of the equation. 24 + -24 + 8b = -32 + -24 Combine like terms: 24 + -24 = 0 0 + 8b = -32 + -24 8b = -32 + -24 Combine like terms: -32 + -24 = -56 8b = -56 Divide each side by '8'. b = -7 Simplifying b = -7
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