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Simplifying -8(3b + 4) + (25b + -8) = 8 Reorder the terms: -8(4 + 3b) + (25b + -8) = 8 (4 * -8 + 3b * -8) + (25b + -8) = 8 (-32 + -24b) + (25b + -8) = 8 Reorder the terms: -32 + -24b + (-8 + 25b) = 8 Remove parenthesis around (-8 + 25b) -32 + -24b + -8 + 25b = 8 Reorder the terms: -32 + -8 + -24b + 25b = 8 Combine like terms: -32 + -8 = -40 -40 + -24b + 25b = 8 Combine like terms: -24b + 25b = 1b -40 + 1b = 8 Solving -40 + 1b = 8 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 1b = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 1b = 8 + 40 1b = 8 + 40 Combine like terms: 8 + 40 = 48 1b = 48 Divide each side by '1'. b = 48 Simplifying b = 48
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