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Simplifying 2(-1b + 4) + -4(5b + -4) = -2b + 10 + 2b Reorder the terms: 2(4 + -1b) + -4(5b + -4) = -2b + 10 + 2b (4 * 2 + -1b * 2) + -4(5b + -4) = -2b + 10 + 2b (8 + -2b) + -4(5b + -4) = -2b + 10 + 2b Reorder the terms: 8 + -2b + -4(-4 + 5b) = -2b + 10 + 2b 8 + -2b + (-4 * -4 + 5b * -4) = -2b + 10 + 2b 8 + -2b + (16 + -20b) = -2b + 10 + 2b Reorder the terms: 8 + 16 + -2b + -20b = -2b + 10 + 2b Combine like terms: 8 + 16 = 24 24 + -2b + -20b = -2b + 10 + 2b Combine like terms: -2b + -20b = -22b 24 + -22b = -2b + 10 + 2b Reorder the terms: 24 + -22b = 10 + -2b + 2b Combine like terms: -2b + 2b = 0 24 + -22b = 10 + 0 24 + -22b = 10 Solving 24 + -22b = 10 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -22b = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -22b = 10 + -24 -22b = 10 + -24 Combine like terms: 10 + -24 = -14 -22b = -14 Divide each side by '-22'. b = 0.6363636364 Simplifying b = 0.6363636364
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