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Simplifying 164 = -4b + -4(5b + 7) Reorder the terms: 164 = -4b + -4(7 + 5b) 164 = -4b + (7 * -4 + 5b * -4) 164 = -4b + (-28 + -20b) Reorder the terms: 164 = -28 + -4b + -20b Combine like terms: -4b + -20b = -24b 164 = -28 + -24b Solving 164 = -28 + -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. 164 + 24b = -28 + -24b + 24b Combine like terms: -24b + 24b = 0 164 + 24b = -28 + 0 164 + 24b = -28 Add '-164' to each side of the equation. 164 + -164 + 24b = -28 + -164 Combine like terms: 164 + -164 = 0 0 + 24b = -28 + -164 24b = -28 + -164 Combine like terms: -28 + -164 = -192 24b = -192 Divide each side by '24'. b = -8 Simplifying b = -8
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