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Simplifying 3(d + -2) = 2(d + 5) Reorder the terms: 3(-2 + d) = 2(d + 5) (-2 * 3 + d * 3) = 2(d + 5) (-6 + 3d) = 2(d + 5) Reorder the terms: -6 + 3d = 2(5 + d) -6 + 3d = (5 * 2 + d * 2) -6 + 3d = (10 + 2d) Solving -6 + 3d = 10 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -6 + 3d + -2d = 10 + 2d + -2d Combine like terms: 3d + -2d = 1d -6 + 1d = 10 + 2d + -2d Combine like terms: 2d + -2d = 0 -6 + 1d = 10 + 0 -6 + 1d = 10 Add '6' to each side of the equation. -6 + 6 + 1d = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 1d = 10 + 6 1d = 10 + 6 Combine like terms: 10 + 6 = 16 1d = 16 Divide each side by '1'. d = 16 Simplifying d = 16
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