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Simplifying 22 = 5b + 7(b + -2) Reorder the terms: 22 = 5b + 7(-2 + b) 22 = 5b + (-2 * 7 + b * 7) 22 = 5b + (-14 + 7b) Reorder the terms: 22 = -14 + 5b + 7b Combine like terms: 5b + 7b = 12b 22 = -14 + 12b Solving 22 = -14 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 22 + -12b = -14 + 12b + -12b Combine like terms: 12b + -12b = 0 22 + -12b = -14 + 0 22 + -12b = -14 Add '-22' to each side of the equation. 22 + -22 + -12b = -14 + -22 Combine like terms: 22 + -22 = 0 0 + -12b = -14 + -22 -12b = -14 + -22 Combine like terms: -14 + -22 = -36 -12b = -36 Divide each side by '-12'. b = 3 Simplifying b = 3
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