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Simplifying 2(5 + -6d) = 7(d + 9) (5 * 2 + -6d * 2) = 7(d + 9) (10 + -12d) = 7(d + 9) Reorder the terms: 10 + -12d = 7(9 + d) 10 + -12d = (9 * 7 + d * 7) 10 + -12d = (63 + 7d) Solving 10 + -12d = 63 + 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. 10 + -12d + -7d = 63 + 7d + -7d Combine like terms: -12d + -7d = -19d 10 + -19d = 63 + 7d + -7d Combine like terms: 7d + -7d = 0 10 + -19d = 63 + 0 10 + -19d = 63 Add '-10' to each side of the equation. 10 + -10 + -19d = 63 + -10 Combine like terms: 10 + -10 = 0 0 + -19d = 63 + -10 -19d = 63 + -10 Combine like terms: 63 + -10 = 53 -19d = 53 Divide each side by '-19'. d = -2.789473684 Simplifying d = -2.789473684
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