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Simplifying 4(3b + -2) + 5(6 + -4b) = 24 Reorder the terms: 4(-2 + 3b) + 5(6 + -4b) = 24 (-2 * 4 + 3b * 4) + 5(6 + -4b) = 24 (-8 + 12b) + 5(6 + -4b) = 24 -8 + 12b + (6 * 5 + -4b * 5) = 24 -8 + 12b + (30 + -20b) = 24 Reorder the terms: -8 + 30 + 12b + -20b = 24 Combine like terms: -8 + 30 = 22 22 + 12b + -20b = 24 Combine like terms: 12b + -20b = -8b 22 + -8b = 24 Solving 22 + -8b = 24 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -8b = 24 + -22 Combine like terms: 22 + -22 = 0 0 + -8b = 24 + -22 -8b = 24 + -22 Combine like terms: 24 + -22 = 2 -8b = 2 Divide each side by '-8'. b = -0.25 Simplifying b = -0.25
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