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Simplifying 22 + 7b = 8 + -7(b + -8) Reorder the terms: 22 + 7b = 8 + -7(-8 + b) 22 + 7b = 8 + (-8 * -7 + b * -7) 22 + 7b = 8 + (56 + -7b) Combine like terms: 8 + 56 = 64 22 + 7b = 64 + -7b Solving 22 + 7b = 64 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 22 + 7b + 7b = 64 + -7b + 7b Combine like terms: 7b + 7b = 14b 22 + 14b = 64 + -7b + 7b Combine like terms: -7b + 7b = 0 22 + 14b = 64 + 0 22 + 14b = 64 Add '-22' to each side of the equation. 22 + -22 + 14b = 64 + -22 Combine like terms: 22 + -22 = 0 0 + 14b = 64 + -22 14b = 64 + -22 Combine like terms: 64 + -22 = 42 14b = 42 Divide each side by '14'. b = 3 Simplifying b = 3
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