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Simplifying 5(d + -2) = 3(d + 4) Reorder the terms: 5(-2 + d) = 3(d + 4) (-2 * 5 + d * 5) = 3(d + 4) (-10 + 5d) = 3(d + 4) Reorder the terms: -10 + 5d = 3(4 + d) -10 + 5d = (4 * 3 + d * 3) -10 + 5d = (12 + 3d) Solving -10 + 5d = 12 + 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. -10 + 5d + -3d = 12 + 3d + -3d Combine like terms: 5d + -3d = 2d -10 + 2d = 12 + 3d + -3d Combine like terms: 3d + -3d = 0 -10 + 2d = 12 + 0 -10 + 2d = 12 Add '10' to each side of the equation. -10 + 10 + 2d = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 2d = 12 + 10 2d = 12 + 10 Combine like terms: 12 + 10 = 22 2d = 22 Divide each side by '2'. d = 11 Simplifying d = 11
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