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Simplifying 10b + -25 + -3d = 4b + -1 Reorder the terms: -25 + 10b + -3d = 4b + -1 Reorder the terms: -25 + 10b + -3d = -1 + 4b Solving -25 + 10b + -3d = -1 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -25 + 10b + -4b + -3d = -1 + 4b + -4b Combine like terms: 10b + -4b = 6b -25 + 6b + -3d = -1 + 4b + -4b Combine like terms: 4b + -4b = 0 -25 + 6b + -3d = -1 + 0 -25 + 6b + -3d = -1 Add '25' to each side of the equation. -25 + 6b + 25 + -3d = -1 + 25 Reorder the terms: -25 + 25 + 6b + -3d = -1 + 25 Combine like terms: -25 + 25 = 0 0 + 6b + -3d = -1 + 25 6b + -3d = -1 + 25 Combine like terms: -1 + 25 = 24 6b + -3d = 24 Add '3d' to each side of the equation. 6b + -3d + 3d = 24 + 3d Combine like terms: -3d + 3d = 0 6b + 0 = 24 + 3d 6b = 24 + 3d Divide each side by '6'. b = 4 + 0.5d Simplifying b = 4 + 0.5d
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