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Simplifying 2d + 18 = 12 + -6[d + 7] Reorder the terms: 18 + 2d = 12 + -6[d + 7] Reorder the terms: 18 + 2d = 12 + -6[7 + d] 18 + 2d = 12 + [7 * -6 + d * -6] 18 + 2d = 12 + [-42 + -6d] Combine like terms: 12 + -42 = -30 18 + 2d = -30 + -6d Solving 18 + 2d = -30 + -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 = -30 + -6d + 6d Combine like terms: 2d + 6d = 8d 18 + 8d = -30 + -6d + 6d Combine like terms: -6d + 6d = 0 18 + 8d = -30 + 0 18 + 8d = -30 Add '-18' to each side of the equation. 18 + -18 + 8d = -30 + -18 Combine like terms: 18 + -18 = 0 0 + 8d = -30 + -18 8d = -30 + -18 Combine like terms: -30 + -18 = -48 8d = -48 Divide each side by '8'. d = -6 Simplifying d = -6
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