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Simplifying 5x3 + -30x2 + 4b + -24 = 0 Reorder the terms: -24 + 4b + -30x2 + 5x3 = 0 Solving -24 + 4b + -30x2 + 5x3 = 0 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 + 4b + -30x2 + 24 + 5x3 = 0 + 24 Reorder the terms: -24 + 24 + 4b + -30x2 + 5x3 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 4b + -30x2 + 5x3 = 0 + 24 4b + -30x2 + 5x3 = 0 + 24 Combine like terms: 0 + 24 = 24 4b + -30x2 + 5x3 = 24 Add '30x2' to each side of the equation. 4b + -30x2 + 30x2 + 5x3 = 24 + 30x2 Combine like terms: -30x2 + 30x2 = 0 4b + 0 + 5x3 = 24 + 30x2 4b + 5x3 = 24 + 30x2 Add '-5x3' to each side of the equation. 4b + 5x3 + -5x3 = 24 + 30x2 + -5x3 Combine like terms: 5x3 + -5x3 = 0 4b + 0 = 24 + 30x2 + -5x3 4b = 24 + 30x2 + -5x3 Divide each side by '4'. b = 6 + 7.5x2 + -1.25x3 Simplifying b = 6 + 7.5x2 + -1.25x3
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