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Simplifying b + -25 = 6(1 + -4b) + -6b Reorder the terms: -25 + b = 6(1 + -4b) + -6b -25 + b = (1 * 6 + -4b * 6) + -6b -25 + b = (6 + -24b) + -6b Combine like terms: -24b + -6b = -30b -25 + b = 6 + -30b Solving -25 + b = 6 + -30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30b' to each side of the equation. -25 + b + 30b = 6 + -30b + 30b Combine like terms: b + 30b = 31b -25 + 31b = 6 + -30b + 30b Combine like terms: -30b + 30b = 0 -25 + 31b = 6 + 0 -25 + 31b = 6 Add '25' to each side of the equation. -25 + 25 + 31b = 6 + 25 Combine like terms: -25 + 25 = 0 0 + 31b = 6 + 25 31b = 6 + 25 Combine like terms: 6 + 25 = 31 31b = 31 Divide each side by '31'. b = 1 Simplifying b = 1
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