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Simplifying 2d + 18 = -6(d + 7) Reorder the terms: 18 + 2d = -6(d + 7) Reorder the terms: 18 + 2d = -6(7 + d) 18 + 2d = (7 * -6 + d * -6) 18 + 2d = (-42 + -6d) Solving 18 + 2d = -42 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. 18 + 2d + 6d = -42 + -6d + 6d Combine like terms: 2d + 6d = 8d 18 + 8d = -42 + -6d + 6d Combine like terms: -6d + 6d = 0 18 + 8d = -42 + 0 18 + 8d = -42 Add '-18' to each side of the equation. 18 + -18 + 8d = -42 + -18 Combine like terms: 18 + -18 = 0 0 + 8d = -42 + -18 8d = -42 + -18 Combine like terms: -42 + -18 = -60 8d = -60 Divide each side by '8'. d = -7.5 Simplifying d = -7.5
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