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Simplifying 6d + 2(d + -13) = d * 5 + -5 Reorder the terms: 6d + 2(-13 + d) = d * 5 + -5 6d + (-13 * 2 + d * 2) = d * 5 + -5 6d + (-26 + 2d) = d * 5 + -5 Reorder the terms: -26 + 6d + 2d = d * 5 + -5 Combine like terms: 6d + 2d = 8d -26 + 8d = d * 5 + -5 Reorder the terms for easier multiplication: -26 + 8d = 5d + -5 Reorder the terms: -26 + 8d = -5 + 5d Solving -26 + 8d = -5 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -26 + 8d + -5d = -5 + 5d + -5d Combine like terms: 8d + -5d = 3d -26 + 3d = -5 + 5d + -5d Combine like terms: 5d + -5d = 0 -26 + 3d = -5 + 0 -26 + 3d = -5 Add '26' to each side of the equation. -26 + 26 + 3d = -5 + 26 Combine like terms: -26 + 26 = 0 0 + 3d = -5 + 26 3d = -5 + 26 Combine like terms: -5 + 26 = 21 3d = 21 Divide each side by '3'. d = 7 Simplifying d = 7
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