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Simplifying 3b + -2(-5b + 3) = 12 + -5b Reorder the terms: 3b + -2(3 + -5b) = 12 + -5b 3b + (3 * -2 + -5b * -2) = 12 + -5b 3b + (-6 + 10b) = 12 + -5b Reorder the terms: -6 + 3b + 10b = 12 + -5b Combine like terms: 3b + 10b = 13b -6 + 13b = 12 + -5b Solving -6 + 13b = 12 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -6 + 13b + 5b = 12 + -5b + 5b Combine like terms: 13b + 5b = 18b -6 + 18b = 12 + -5b + 5b Combine like terms: -5b + 5b = 0 -6 + 18b = 12 + 0 -6 + 18b = 12 Add '6' to each side of the equation. -6 + 6 + 18b = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 18b = 12 + 6 18b = 12 + 6 Combine like terms: 12 + 6 = 18 18b = 18 Divide each side by '18'. b = 1 Simplifying b = 1
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