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Simplifying 0.7(b + 3) + 4 = 25 + 7b Reorder the terms: 0.7(3 + b) + 4 = 25 + 7b (3 * 0.7 + b * 0.7) + 4 = 25 + 7b (2.1 + 0.7b) + 4 = 25 + 7b Reorder the terms: 2.1 + 4 + 0.7b = 25 + 7b Combine like terms: 2.1 + 4 = 6.1 6.1 + 0.7b = 25 + 7b Solving 6.1 + 0.7b = 25 + 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. 6.1 + 0.7b + -7b = 25 + 7b + -7b Combine like terms: 0.7b + -7b = -6.3b 6.1 + -6.3b = 25 + 7b + -7b Combine like terms: 7b + -7b = 0 6.1 + -6.3b = 25 + 0 6.1 + -6.3b = 25 Add '-6.1' to each side of the equation. 6.1 + -6.1 + -6.3b = 25 + -6.1 Combine like terms: 6.1 + -6.1 = 0.0 0.0 + -6.3b = 25 + -6.1 -6.3b = 25 + -6.1 Combine like terms: 25 + -6.1 = 18.9 -6.3b = 18.9 Divide each side by '-6.3'. b = -3 Simplifying b = -3
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