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Simplifying 4(2 + -6b) = 24 + -13(2 + 2b) (2 * 4 + -6b * 4) = 24 + -13(2 + 2b) (8 + -24b) = 24 + -13(2 + 2b) 8 + -24b = 24 + (2 * -13 + 2b * -13) 8 + -24b = 24 + (-26 + -26b) Combine like terms: 24 + -26 = -2 8 + -24b = -2 + -26b Solving 8 + -24b = -2 + -26b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '26b' to each side of the equation. 8 + -24b + 26b = -2 + -26b + 26b Combine like terms: -24b + 26b = 2b 8 + 2b = -2 + -26b + 26b Combine like terms: -26b + 26b = 0 8 + 2b = -2 + 0 8 + 2b = -2 Add '-8' to each side of the equation. 8 + -8 + 2b = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 2b = -2 + -8 2b = -2 + -8 Combine like terms: -2 + -8 = -10 2b = -10 Divide each side by '2'. b = -5 Simplifying b = -5
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