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Simplifying 6(d + 3) = (d + -2) Reorder the terms: 6(3 + d) = (d + -2) (3 * 6 + d * 6) = (d + -2) (18 + 6d) = (d + -2) Reorder the terms: 18 + 6d = (-2 + d) Remove parenthesis around (-2 + d) 18 + 6d = -2 + d Solving 18 + 6d = -2 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 18 + 6d + -1d = -2 + d + -1d Combine like terms: 6d + -1d = 5d 18 + 5d = -2 + d + -1d Combine like terms: d + -1d = 0 18 + 5d = -2 + 0 18 + 5d = -2 Add '-18' to each side of the equation. 18 + -18 + 5d = -2 + -18 Combine like terms: 18 + -18 = 0 0 + 5d = -2 + -18 5d = -2 + -18 Combine like terms: -2 + -18 = -20 5d = -20 Divide each side by '5'. d = -4 Simplifying d = -4
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