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Simplifying (7b + -5) = (2b + -0.5) Reorder the terms: (-5 + 7b) = (2b + -0.5) Remove parenthesis around (-5 + 7b) -5 + 7b = (2b + -0.5) Reorder the terms: -5 + 7b = (-0.5 + 2b) Remove parenthesis around (-0.5 + 2b) -5 + 7b = -0.5 + 2b Solving -5 + 7b = -0.5 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -5 + 7b + -2b = -0.5 + 2b + -2b Combine like terms: 7b + -2b = 5b -5 + 5b = -0.5 + 2b + -2b Combine like terms: 2b + -2b = 0 -5 + 5b = -0.5 + 0 -5 + 5b = -0.5 Add '5' to each side of the equation. -5 + 5 + 5b = -0.5 + 5 Combine like terms: -5 + 5 = 0 0 + 5b = -0.5 + 5 5b = -0.5 + 5 Combine like terms: -0.5 + 5 = 4.5 5b = 4.5 Divide each side by '5'. b = 0.9 Simplifying b = 0.9
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