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Simplifying 12b + 45 = 19b + -25 Reorder the terms: 45 + 12b = 19b + -25 Reorder the terms: 45 + 12b = -25 + 19b Solving 45 + 12b = -25 + 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. 45 + 12b + -19b = -25 + 19b + -19b Combine like terms: 12b + -19b = -7b 45 + -7b = -25 + 19b + -19b Combine like terms: 19b + -19b = 0 45 + -7b = -25 + 0 45 + -7b = -25 Add '-45' to each side of the equation. 45 + -45 + -7b = -25 + -45 Combine like terms: 45 + -45 = 0 0 + -7b = -25 + -45 -7b = -25 + -45 Combine like terms: -25 + -45 = -70 -7b = -70 Divide each side by '-7'. b = 10 Simplifying b = 10
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