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Simplifying -2(6d + 4) = -17 + 7d Reorder the terms: -2(4 + 6d) = -17 + 7d (4 * -2 + 6d * -2) = -17 + 7d (-8 + -12d) = -17 + 7d Solving -8 + -12d = -17 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -8 + -12d + -7d = -17 + 7d + -7d Combine like terms: -12d + -7d = -19d -8 + -19d = -17 + 7d + -7d Combine like terms: 7d + -7d = 0 -8 + -19d = -17 + 0 -8 + -19d = -17 Add '8' to each side of the equation. -8 + 8 + -19d = -17 + 8 Combine like terms: -8 + 8 = 0 0 + -19d = -17 + 8 -19d = -17 + 8 Combine like terms: -17 + 8 = -9 -19d = -9 Divide each side by '-19'. d = 0.4736842105 Simplifying d = 0.4736842105
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