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Simplifying 2b + 4(p + -3.5) = 32.5 Reorder the terms: 2b + 4(-3.5 + p) = 32.5 2b + (-3.5 * 4 + p * 4) = 32.5 2b + (-14 + 4p) = 32.5 Reorder the terms: -14 + 2b + 4p = 32.5 Solving -14 + 2b + 4p = 32.5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 2b + 14 + 4p = 32.5 + 14 Reorder the terms: -14 + 14 + 2b + 4p = 32.5 + 14 Combine like terms: -14 + 14 = 0 0 + 2b + 4p = 32.5 + 14 2b + 4p = 32.5 + 14 Combine like terms: 32.5 + 14 = 46.5 2b + 4p = 46.5 Add '-4p' to each side of the equation. 2b + 4p + -4p = 46.5 + -4p Combine like terms: 4p + -4p = 0 2b + 0 = 46.5 + -4p 2b = 46.5 + -4p Divide each side by '2'. b = 23.25 + -2p Simplifying b = 23.25 + -2p
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