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Simplifying -3b + -25 = -2(1 + 4b) + 7 Reorder the terms: -25 + -3b = -2(1 + 4b) + 7 -25 + -3b = (1 * -2 + 4b * -2) + 7 -25 + -3b = (-2 + -8b) + 7 Reorder the terms: -25 + -3b = -2 + 7 + -8b Combine like terms: -2 + 7 = 5 -25 + -3b = 5 + -8b Solving -25 + -3b = 5 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -25 + -3b + 8b = 5 + -8b + 8b Combine like terms: -3b + 8b = 5b -25 + 5b = 5 + -8b + 8b Combine like terms: -8b + 8b = 0 -25 + 5b = 5 + 0 -25 + 5b = 5 Add '25' to each side of the equation. -25 + 25 + 5b = 5 + 25 Combine like terms: -25 + 25 = 0 0 + 5b = 5 + 25 5b = 5 + 25 Combine like terms: 5 + 25 = 30 5b = 30 Divide each side by '5'. b = 6 Simplifying b = 6
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