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Simplifying 0.5(4b + 2) = 7 + 7b Reorder the terms: 0.5(2 + 4b) = 7 + 7b (2 * 0.5 + 4b * 0.5) = 7 + 7b (1 + 2b) = 7 + 7b Solving 1 + 2b = 7 + 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. 1 + 2b + -7b = 7 + 7b + -7b Combine like terms: 2b + -7b = -5b 1 + -5b = 7 + 7b + -7b Combine like terms: 7b + -7b = 0 1 + -5b = 7 + 0 1 + -5b = 7 Add '-1' to each side of the equation. 1 + -1 + -5b = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -5b = 7 + -1 -5b = 7 + -1 Combine like terms: 7 + -1 = 6 -5b = 6 Divide each side by '-5'. b = -1.2 Simplifying b = -1.2
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