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Simplifying 10 + d = 2(3d + 5) + -30 Reorder the terms: 10 + d = 2(5 + 3d) + -30 10 + d = (5 * 2 + 3d * 2) + -30 10 + d = (10 + 6d) + -30 Reorder the terms: 10 + d = 10 + -30 + 6d Combine like terms: 10 + -30 = -20 10 + d = -20 + 6d Solving 10 + d = -20 + 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. 10 + d + -6d = -20 + 6d + -6d Combine like terms: d + -6d = -5d 10 + -5d = -20 + 6d + -6d Combine like terms: 6d + -6d = 0 10 + -5d = -20 + 0 10 + -5d = -20 Add '-10' to each side of the equation. 10 + -10 + -5d = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -5d = -20 + -10 -5d = -20 + -10 Combine like terms: -20 + -10 = -30 -5d = -30 Divide each side by '-5'. d = 6 Simplifying d = 6
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