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Simplifying 10b + -6 = 4d + -15 + -3b Reorder the terms: -6 + 10b = 4d + -15 + -3b Reorder the terms: -6 + 10b = -15 + -3b + 4d Solving -6 + 10b = -15 + -3b + 4d Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -6 + 10b + 3b = -15 + -3b + 3b + 4d Combine like terms: 10b + 3b = 13b -6 + 13b = -15 + -3b + 3b + 4d Combine like terms: -3b + 3b = 0 -6 + 13b = -15 + 0 + 4d -6 + 13b = -15 + 4d Add '6' to each side of the equation. -6 + 6 + 13b = -15 + 6 + 4d Combine like terms: -6 + 6 = 0 0 + 13b = -15 + 6 + 4d 13b = -15 + 6 + 4d Combine like terms: -15 + 6 = -9 13b = -9 + 4d Divide each side by '13'. b = -0.6923076923 + 0.3076923077d Simplifying b = -0.6923076923 + 0.3076923077d
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