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Simplifying 5(4b + -2) = 10 + 12b Reorder the terms: 5(-2 + 4b) = 10 + 12b (-2 * 5 + 4b * 5) = 10 + 12b (-10 + 20b) = 10 + 12b Solving -10 + 20b = 10 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -10 + 20b + -12b = 10 + 12b + -12b Combine like terms: 20b + -12b = 8b -10 + 8b = 10 + 12b + -12b Combine like terms: 12b + -12b = 0 -10 + 8b = 10 + 0 -10 + 8b = 10 Add '10' to each side of the equation. -10 + 10 + 8b = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 8b = 10 + 10 8b = 10 + 10 Combine like terms: 10 + 10 = 20 8b = 20 Divide each side by '8'. b = 2.5 Simplifying b = 2.5
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