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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 = -7b -6 + -7b = 12 + -5b Solving -6 + -7b = 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 + -7b + 5b = 12 + -5b + 5b Combine like terms: -7b + 5b = -2b -6 + -2b = 12 + -5b + 5b Combine like terms: -5b + 5b = 0 -6 + -2b = 12 + 0 -6 + -2b = 12 Add '6' to each side of the equation. -6 + 6 + -2b = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -2b = 12 + 6 -2b = 12 + 6 Combine like terms: 12 + 6 = 18 -2b = 18 Divide each side by '-2'. b = -9 Simplifying b = -9
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