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Simplifying 0.25(4b + 12) = 7b + -12 + -1b Reorder the terms: 0.25(12 + 4b) = 7b + -12 + -1b (12 * 0.25 + 4b * 0.25) = 7b + -12 + -1b (3 + 1b) = 7b + -12 + -1b Reorder the terms: 3 + 1b = -12 + 7b + -1b Combine like terms: 7b + -1b = 6b 3 + 1b = -12 + 6b Solving 3 + 1b = -12 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 3 + 1b + -6b = -12 + 6b + -6b Combine like terms: 1b + -6b = -5b 3 + -5b = -12 + 6b + -6b Combine like terms: 6b + -6b = 0 3 + -5b = -12 + 0 3 + -5b = -12 Add '-3' to each side of the equation. 3 + -3 + -5b = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -5b = -12 + -3 -5b = -12 + -3 Combine like terms: -12 + -3 = -15 -5b = -15 Divide each side by '-5'. b = 3 Simplifying b = 3
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