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Simplifying 18 + -7d = -8(5d + 9) Reorder the terms: 18 + -7d = -8(9 + 5d) 18 + -7d = (9 * -8 + 5d * -8) 18 + -7d = (-72 + -40d) Solving 18 + -7d = -72 + -40d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '40d' to each side of the equation. 18 + -7d + 40d = -72 + -40d + 40d Combine like terms: -7d + 40d = 33d 18 + 33d = -72 + -40d + 40d Combine like terms: -40d + 40d = 0 18 + 33d = -72 + 0 18 + 33d = -72 Add '-18' to each side of the equation. 18 + -18 + 33d = -72 + -18 Combine like terms: 18 + -18 = 0 0 + 33d = -72 + -18 33d = -72 + -18 Combine like terms: -72 + -18 = -90 33d = -90 Divide each side by '33'. d = -2.727272727 Simplifying d = -2.727272727
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