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Simplifying 10d + -6 = 4d + -15 + -13d Reorder the terms: -6 + 10d = 4d + -15 + -13d Reorder the terms: -6 + 10d = -15 + 4d + -13d Combine like terms: 4d + -13d = -9d -6 + 10d = -15 + -9d Solving -6 + 10d = -15 + -9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d' to each side of the equation. -6 + 10d + 9d = -15 + -9d + 9d Combine like terms: 10d + 9d = 19d -6 + 19d = -15 + -9d + 9d Combine like terms: -9d + 9d = 0 -6 + 19d = -15 + 0 -6 + 19d = -15 Add '6' to each side of the equation. -6 + 6 + 19d = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 19d = -15 + 6 19d = -15 + 6 Combine like terms: -15 + 6 = -9 19d = -9 Divide each side by '19'. d = -0.4736842105 Simplifying d = -0.4736842105
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