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Simplifying (25b + -7) + -8(3b + 5) = 3 Reorder the terms: (-7 + 25b) + -8(3b + 5) = 3 Remove parenthesis around (-7 + 25b) -7 + 25b + -8(3b + 5) = 3 Reorder the terms: -7 + 25b + -8(5 + 3b) = 3 -7 + 25b + (5 * -8 + 3b * -8) = 3 -7 + 25b + (-40 + -24b) = 3 Reorder the terms: -7 + -40 + 25b + -24b = 3 Combine like terms: -7 + -40 = -47 -47 + 25b + -24b = 3 Combine like terms: 25b + -24b = 1b -47 + 1b = 3 Solving -47 + 1b = 3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 1b = 3 + 47 Combine like terms: -47 + 47 = 0 0 + 1b = 3 + 47 1b = 3 + 47 Combine like terms: 3 + 47 = 50 1b = 50 Divide each side by '1'. b = 50 Simplifying b = 50
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