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Simplifying 3(d + -13) + 2(d + -7) = 7 Reorder the terms: 3(-13 + d) + 2(d + -7) = 7 (-13 * 3 + d * 3) + 2(d + -7) = 7 (-39 + 3d) + 2(d + -7) = 7 Reorder the terms: -39 + 3d + 2(-7 + d) = 7 -39 + 3d + (-7 * 2 + d * 2) = 7 -39 + 3d + (-14 + 2d) = 7 Reorder the terms: -39 + -14 + 3d + 2d = 7 Combine like terms: -39 + -14 = -53 -53 + 3d + 2d = 7 Combine like terms: 3d + 2d = 5d -53 + 5d = 7 Solving -53 + 5d = 7 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 5d = 7 + 53 Combine like terms: -53 + 53 = 0 0 + 5d = 7 + 53 5d = 7 + 53 Combine like terms: 7 + 53 = 60 5d = 60 Divide each side by '5'. d = 12 Simplifying d = 12
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