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Simplifying 2 + 4b = -5(4b + 2) Reorder the terms: 2 + 4b = -5(2 + 4b) 2 + 4b = (2 * -5 + 4b * -5) 2 + 4b = (-10 + -20b) Solving 2 + 4b = -10 + -20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20b' to each side of the equation. 2 + 4b + 20b = -10 + -20b + 20b Combine like terms: 4b + 20b = 24b 2 + 24b = -10 + -20b + 20b Combine like terms: -20b + 20b = 0 2 + 24b = -10 + 0 2 + 24b = -10 Add '-2' to each side of the equation. 2 + -2 + 24b = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 24b = -10 + -2 24b = -10 + -2 Combine like terms: -10 + -2 = -12 24b = -12 Divide each side by '24'. b = -0.5 Simplifying b = -0.5
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