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Simplifying 24 + 8b = -8(-7 + 3b) 24 + 8b = (-7 * -8 + 3b * -8) 24 + 8b = (56 + -24b) Solving 24 + 8b = 56 + -24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24b' to each side of the equation. 24 + 8b + 24b = 56 + -24b + 24b Combine like terms: 8b + 24b = 32b 24 + 32b = 56 + -24b + 24b Combine like terms: -24b + 24b = 0 24 + 32b = 56 + 0 24 + 32b = 56 Add '-24' to each side of the equation. 24 + -24 + 32b = 56 + -24 Combine like terms: 24 + -24 = 0 0 + 32b = 56 + -24 32b = 56 + -24 Combine like terms: 56 + -24 = 32 32b = 32 Divide each side by '32'. b = 1 Simplifying b = 1
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