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Simplifying 2d + 18 = 2 + -6(d + 7) Reorder the terms: 18 + 2d = 2 + -6(d + 7) Reorder the terms: 18 + 2d = 2 + -6(7 + d) 18 + 2d = 2 + (7 * -6 + d * -6) 18 + 2d = 2 + (-42 + -6d) Combine like terms: 2 + -42 = -40 18 + 2d = -40 + -6d Solving 18 + 2d = -40 + -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 = -40 + -6d + 6d Combine like terms: 2d + 6d = 8d 18 + 8d = -40 + -6d + 6d Combine like terms: -6d + 6d = 0 18 + 8d = -40 + 0 18 + 8d = -40 Add '-18' to each side of the equation. 18 + -18 + 8d = -40 + -18 Combine like terms: 18 + -18 = 0 0 + 8d = -40 + -18 8d = -40 + -18 Combine like terms: -40 + -18 = -58 8d = -58 Divide each side by '8'. d = -7.25 Simplifying d = -7.25
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