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Simplifying 2(12b + -10) = -58 + 5b Reorder the terms: 2(-10 + 12b) = -58 + 5b (-10 * 2 + 12b * 2) = -58 + 5b (-20 + 24b) = -58 + 5b Solving -20 + 24b = -58 + 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. -20 + 24b + -5b = -58 + 5b + -5b Combine like terms: 24b + -5b = 19b -20 + 19b = -58 + 5b + -5b Combine like terms: 5b + -5b = 0 -20 + 19b = -58 + 0 -20 + 19b = -58 Add '20' to each side of the equation. -20 + 20 + 19b = -58 + 20 Combine like terms: -20 + 20 = 0 0 + 19b = -58 + 20 19b = -58 + 20 Combine like terms: -58 + 20 = -38 19b = -38 Divide each side by '19'. b = -2 Simplifying b = -2
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