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Simplifying 7(7 + -3b) + 8 = 225 (7 * 7 + -3b * 7) + 8 = 225 (49 + -21b) + 8 = 225 Reorder the terms: 49 + 8 + -21b = 225 Combine like terms: 49 + 8 = 57 57 + -21b = 225 Solving 57 + -21b = 225 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -21b = 225 + -57 Combine like terms: 57 + -57 = 0 0 + -21b = 225 + -57 -21b = 225 + -57 Combine like terms: 225 + -57 = 168 -21b = 168 Divide each side by '-21'. b = -8 Simplifying b = -8
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