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Simplifying 6 = -3(6d + 10) Reorder the terms: 6 = -3(10 + 6d) 6 = (10 * -3 + 6d * -3) 6 = (-30 + -18d) Solving 6 = -30 + -18d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '18d' to each side of the equation. 6 + 18d = -30 + -18d + 18d Combine like terms: -18d + 18d = 0 6 + 18d = -30 + 0 6 + 18d = -30 Add '-6' to each side of the equation. 6 + -6 + 18d = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 18d = -30 + -6 18d = -30 + -6 Combine like terms: -30 + -6 = -36 18d = -36 Divide each side by '18'. d = -2 Simplifying d = -2
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