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Simplifying -8(3b + 4) + (25b + -5) = 6 Reorder the terms: -8(4 + 3b) + (25b + -5) = 6 (4 * -8 + 3b * -8) + (25b + -5) = 6 (-32 + -24b) + (25b + -5) = 6 Reorder the terms: -32 + -24b + (-5 + 25b) = 6 Remove parenthesis around (-5 + 25b) -32 + -24b + -5 + 25b = 6 Reorder the terms: -32 + -5 + -24b + 25b = 6 Combine like terms: -32 + -5 = -37 -37 + -24b + 25b = 6 Combine like terms: -24b + 25b = 1b -37 + 1b = 6 Solving -37 + 1b = 6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 1b = 6 + 37 Combine like terms: -37 + 37 = 0 0 + 1b = 6 + 37 1b = 6 + 37 Combine like terms: 6 + 37 = 43 1b = 43 Divide each side by '1'. b = 43 Simplifying b = 43
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