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Simplifying (25b + -3) + -8(3b + 2) = -7 Reorder the terms: (-3 + 25b) + -8(3b + 2) = -7 Remove parenthesis around (-3 + 25b) -3 + 25b + -8(3b + 2) = -7 Reorder the terms: -3 + 25b + -8(2 + 3b) = -7 -3 + 25b + (2 * -8 + 3b * -8) = -7 -3 + 25b + (-16 + -24b) = -7 Reorder the terms: -3 + -16 + 25b + -24b = -7 Combine like terms: -3 + -16 = -19 -19 + 25b + -24b = -7 Combine like terms: 25b + -24b = 1b -19 + 1b = -7 Solving -19 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1b = -7 + 19 Combine like terms: -19 + 19 = 0 0 + 1b = -7 + 19 1b = -7 + 19 Combine like terms: -7 + 19 = 12 1b = 12 Divide each side by '1'. b = 12 Simplifying b = 12
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