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Simplifying 2d + 10 = 6d + -15 + 5 Reorder the terms: 10 + 2d = 6d + -15 + 5 Reorder the terms: 10 + 2d = -15 + 5 + 6d Combine like terms: -15 + 5 = -10 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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