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Simplifying (25b + -7) + -8(3b + 2) = -5 Reorder the terms: (-7 + 25b) + -8(3b + 2) = -5 Remove parenthesis around (-7 + 25b) -7 + 25b + -8(3b + 2) = -5 Reorder the terms: -7 + 25b + -8(2 + 3b) = -5 -7 + 25b + (2 * -8 + 3b * -8) = -5 -7 + 25b + (-16 + -24b) = -5 Reorder the terms: -7 + -16 + 25b + -24b = -5 Combine like terms: -7 + -16 = -23 -23 + 25b + -24b = -5 Combine like terms: 25b + -24b = 1b -23 + 1b = -5 Solving -23 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 1b = -5 + 23 Combine like terms: -23 + 23 = 0 0 + 1b = -5 + 23 1b = -5 + 23 Combine like terms: -5 + 23 = 18 1b = 18 Divide each side by '1'. b = 18 Simplifying b = 18
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