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Simplifying 3(4b + -2) = 10 + 10b Reorder the terms: 3(-2 + 4b) = 10 + 10b (-2 * 3 + 4b * 3) = 10 + 10b (-6 + 12b) = 10 + 10b Solving -6 + 12b = 10 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -6 + 12b + -10b = 10 + 10b + -10b Combine like terms: 12b + -10b = 2b -6 + 2b = 10 + 10b + -10b Combine like terms: 10b + -10b = 0 -6 + 2b = 10 + 0 -6 + 2b = 10 Add '6' to each side of the equation. -6 + 6 + 2b = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 2b = 10 + 6 2b = 10 + 6 Combine like terms: 10 + 6 = 16 2b = 16 Divide each side by '2'. b = 8 Simplifying b = 8
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