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Simplifying 5(2d + -1) = 3(d + 17) Reorder the terms: 5(-1 + 2d) = 3(d + 17) (-1 * 5 + 2d * 5) = 3(d + 17) (-5 + 10d) = 3(d + 17) Reorder the terms: -5 + 10d = 3(17 + d) -5 + 10d = (17 * 3 + d * 3) -5 + 10d = (51 + 3d) Solving -5 + 10d = 51 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -5 + 10d + -3d = 51 + 3d + -3d Combine like terms: 10d + -3d = 7d -5 + 7d = 51 + 3d + -3d Combine like terms: 3d + -3d = 0 -5 + 7d = 51 + 0 -5 + 7d = 51 Add '5' to each side of the equation. -5 + 5 + 7d = 51 + 5 Combine like terms: -5 + 5 = 0 0 + 7d = 51 + 5 7d = 51 + 5 Combine like terms: 51 + 5 = 56 7d = 56 Divide each side by '7'. d = 8 Simplifying d = 8
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