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Simplifying -4(b + -6) + 7(2b + 3) = 25 Reorder the terms: -4(-6 + b) + 7(2b + 3) = 25 (-6 * -4 + b * -4) + 7(2b + 3) = 25 (24 + -4b) + 7(2b + 3) = 25 Reorder the terms: 24 + -4b + 7(3 + 2b) = 25 24 + -4b + (3 * 7 + 2b * 7) = 25 24 + -4b + (21 + 14b) = 25 Reorder the terms: 24 + 21 + -4b + 14b = 25 Combine like terms: 24 + 21 = 45 45 + -4b + 14b = 25 Combine like terms: -4b + 14b = 10b 45 + 10b = 25 Solving 45 + 10b = 25 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 10b = 25 + -45 Combine like terms: 45 + -45 = 0 0 + 10b = 25 + -45 10b = 25 + -45 Combine like terms: 25 + -45 = -20 10b = -20 Divide each side by '10'. b = -2 Simplifying b = -2
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