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Simplifying 5b + -2c2 = 3(b + -2) Reorder the terms: 5b + -2c2 = 3(-2 + b) 5b + -2c2 = (-2 * 3 + b * 3) 5b + -2c2 = (-6 + 3b) Solving 5b + -2c2 = -6 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 5b + -3b + -2c2 = -6 + 3b + -3b Combine like terms: 5b + -3b = 2b 2b + -2c2 = -6 + 3b + -3b Combine like terms: 3b + -3b = 0 2b + -2c2 = -6 + 0 2b + -2c2 = -6 Add '2c2' to each side of the equation. 2b + -2c2 + 2c2 = -6 + 2c2 Combine like terms: -2c2 + 2c2 = 0 2b + 0 = -6 + 2c2 2b = -6 + 2c2 Divide each side by '2'. b = -3 + c2 Simplifying b = -3 + c2
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