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Simplifying 4b + 2d + -10 + -3d = 17 Reorder the terms: -10 + 4b + 2d + -3d = 17 Combine like terms: 2d + -3d = -1d -10 + 4b + -1d = 17 Solving -10 + 4b + -1d = 17 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 4b + 10 + -1d = 17 + 10 Reorder the terms: -10 + 10 + 4b + -1d = 17 + 10 Combine like terms: -10 + 10 = 0 0 + 4b + -1d = 17 + 10 4b + -1d = 17 + 10 Combine like terms: 17 + 10 = 27 4b + -1d = 27 Add 'd' to each side of the equation. 4b + -1d + d = 27 + d Combine like terms: -1d + d = 0 4b + 0 = 27 + d 4b = 27 + d Divide each side by '4'. b = 6.75 + 0.25d Simplifying b = 6.75 + 0.25d
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