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Simplifying 2(1d + 5) = 3(1d + -2) Reorder the terms: 2(5 + 1d) = 3(1d + -2) (5 * 2 + 1d * 2) = 3(1d + -2) (10 + 2d) = 3(1d + -2) Reorder the terms: 10 + 2d = 3(-2 + 1d) 10 + 2d = (-2 * 3 + 1d * 3) 10 + 2d = (-6 + 3d) Solving 10 + 2d = -6 + 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 + 2d + -3d = -6 + 3d + -3d Combine like terms: 2d + -3d = -1d 10 + -1d = -6 + 3d + -3d Combine like terms: 3d + -3d = 0 10 + -1d = -6 + 0 10 + -1d = -6 Add '-10' to each side of the equation. 10 + -10 + -1d = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -1d = -6 + -10 -1d = -6 + -10 Combine like terms: -6 + -10 = -16 -1d = -16 Divide each side by '-1'. d = 16 Simplifying d = 16
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