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Simplifying 8b + -25 = 7(3b + -2) + -2b Reorder the terms: -25 + 8b = 7(3b + -2) + -2b Reorder the terms: -25 + 8b = 7(-2 + 3b) + -2b -25 + 8b = (-2 * 7 + 3b * 7) + -2b -25 + 8b = (-14 + 21b) + -2b Combine like terms: 21b + -2b = 19b -25 + 8b = -14 + 19b Solving -25 + 8b = -14 + 19b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-19b' to each side of the equation. -25 + 8b + -19b = -14 + 19b + -19b Combine like terms: 8b + -19b = -11b -25 + -11b = -14 + 19b + -19b Combine like terms: 19b + -19b = 0 -25 + -11b = -14 + 0 -25 + -11b = -14 Add '25' to each side of the equation. -25 + 25 + -11b = -14 + 25 Combine like terms: -25 + 25 = 0 0 + -11b = -14 + 25 -11b = -14 + 25 Combine like terms: -14 + 25 = 11 -11b = 11 Divide each side by '-11'. b = -1 Simplifying b = -1
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