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Simplifying 0.5b + 4 = 29(b + 2) Reorder the terms: 4 + 0.5b = 29(b + 2) Reorder the terms: 4 + 0.5b = 29(2 + b) 4 + 0.5b = (2 * 29 + b * 29) 4 + 0.5b = (58 + 29b) Solving 4 + 0.5b = 58 + 29b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-29b' to each side of the equation. 4 + 0.5b + -29b = 58 + 29b + -29b Combine like terms: 0.5b + -29b = -28.5b 4 + -28.5b = 58 + 29b + -29b Combine like terms: 29b + -29b = 0 4 + -28.5b = 58 + 0 4 + -28.5b = 58 Add '-4' to each side of the equation. 4 + -4 + -28.5b = 58 + -4 Combine like terms: 4 + -4 = 0 0 + -28.5b = 58 + -4 -28.5b = 58 + -4 Combine like terms: 58 + -4 = 54 -28.5b = 54 Divide each side by '-28.5'. b = -1.894736842 Simplifying b = -1.894736842
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