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Simplifying -4(-6d + 2d + -9) + -7 = 0 Reorder the terms: -4(-9 + -6d + 2d) + -7 = 0 Combine like terms: -6d + 2d = -4d -4(-9 + -4d) + -7 = 0 (-9 * -4 + -4d * -4) + -7 = 0 (36 + 16d) + -7 = 0 Reorder the terms: 36 + -7 + 16d = 0 Combine like terms: 36 + -7 = 29 29 + 16d = 0 Solving 29 + 16d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 16d = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 16d = 0 + -29 16d = 0 + -29 Combine like terms: 0 + -29 = -29 16d = -29 Divide each side by '16'. d = -1.8125 Simplifying d = -1.8125
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