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Simplifying 6 + -3d = 5(2 + -1d) 6 + -3d = (2 * 5 + -1d * 5) 6 + -3d = (10 + -5d) Solving 6 + -3d = 10 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. 6 + -3d + 5d = 10 + -5d + 5d Combine like terms: -3d + 5d = 2d 6 + 2d = 10 + -5d + 5d Combine like terms: -5d + 5d = 0 6 + 2d = 10 + 0 6 + 2d = 10 Add '-6' to each side of the equation. 6 + -6 + 2d = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 2d = 10 + -6 2d = 10 + -6 Combine like terms: 10 + -6 = 4 2d = 4 Divide each side by '2'. d = 2 Simplifying d = 2
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