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Simplifying 2(5 + -3b) = 4(6b + -2) (5 * 2 + -3b * 2) = 4(6b + -2) (10 + -6b) = 4(6b + -2) Reorder the terms: 10 + -6b = 4(-2 + 6b) 10 + -6b = (-2 * 4 + 6b * 4) 10 + -6b = (-8 + 24b) Solving 10 + -6b = -8 + 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. 10 + -6b + -24b = -8 + 24b + -24b Combine like terms: -6b + -24b = -30b 10 + -30b = -8 + 24b + -24b Combine like terms: 24b + -24b = 0 10 + -30b = -8 + 0 10 + -30b = -8 Add '-10' to each side of the equation. 10 + -10 + -30b = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -30b = -8 + -10 -30b = -8 + -10 Combine like terms: -8 + -10 = -18 -30b = -18 Divide each side by '-30'. b = 0.6 Simplifying b = 0.6
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