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Simplifying 7(b + -0.5) = 2(b + 4.5) Reorder the terms: 7(-0.5 + b) = 2(b + 4.5) (-0.5 * 7 + b * 7) = 2(b + 4.5) (-3.5 + 7b) = 2(b + 4.5) Reorder the terms: -3.5 + 7b = 2(4.5 + b) -3.5 + 7b = (4.5 * 2 + b * 2) -3.5 + 7b = (9 + 2b) Solving -3.5 + 7b = 9 + 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. -3.5 + 7b + -2b = 9 + 2b + -2b Combine like terms: 7b + -2b = 5b -3.5 + 5b = 9 + 2b + -2b Combine like terms: 2b + -2b = 0 -3.5 + 5b = 9 + 0 -3.5 + 5b = 9 Add '3.5' to each side of the equation. -3.5 + 3.5 + 5b = 9 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 5b = 9 + 3.5 5b = 9 + 3.5 Combine like terms: 9 + 3.5 = 12.5 5b = 12.5 Divide each side by '5'. b = 2.5 Simplifying b = 2.5
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