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Simplifying 2(d + 5) = 6d + -10 Reorder the terms: 2(5 + d) = 6d + -10 (5 * 2 + d * 2) = 6d + -10 (10 + 2d) = 6d + -10 Reorder the terms: 10 + 2d = -10 + 6d Solving 10 + 2d = -10 + 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 + 2d + -6d = -10 + 6d + -6d Combine like terms: 2d + -6d = -4d 10 + -4d = -10 + 6d + -6d Combine like terms: 6d + -6d = 0 10 + -4d = -10 + 0 10 + -4d = -10 Add '-10' to each side of the equation. 10 + -10 + -4d = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -4d = -10 + -10 -4d = -10 + -10 Combine like terms: -10 + -10 = -20 -4d = -20 Divide each side by '-4'. d = 5 Simplifying d = 5
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