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Simplifying 10d + -1b = 4d + -15 + -3d Reorder the terms: -1b + 10d = 4d + -15 + -3d Reorder the terms: -1b + 10d = -15 + 4d + -3d Combine like terms: 4d + -3d = 1d -1b + 10d = -15 + 1d Solving -1b + 10d = -15 + 1d Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10d' to each side of the equation. -1b + 10d + -10d = -15 + 1d + -10d Combine like terms: 10d + -10d = 0 -1b + 0 = -15 + 1d + -10d -1b = -15 + 1d + -10d Combine like terms: 1d + -10d = -9d -1b = -15 + -9d Divide each side by '-1'. b = 15 + 9d Simplifying b = 15 + 9d
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