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Simplifying 6(3 + -5d) = -10d + -2 (3 * 6 + -5d * 6) = -10d + -2 (18 + -30d) = -10d + -2 Reorder the terms: 18 + -30d = -2 + -10d Solving 18 + -30d = -2 + -10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10d' to each side of the equation. 18 + -30d + 10d = -2 + -10d + 10d Combine like terms: -30d + 10d = -20d 18 + -20d = -2 + -10d + 10d Combine like terms: -10d + 10d = 0 18 + -20d = -2 + 0 18 + -20d = -2 Add '-18' to each side of the equation. 18 + -18 + -20d = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -20d = -2 + -18 -20d = -2 + -18 Combine like terms: -2 + -18 = -20 -20d = -20 Divide each side by '-20'. d = 1 Simplifying d = 1
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