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Simplifying 6 + -3d = 5(3 + -1d) 6 + -3d = (3 * 5 + -1d * 5) 6 + -3d = (15 + -5d) Solving 6 + -3d = 15 + -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 = 15 + -5d + 5d Combine like terms: -3d + 5d = 2d 6 + 2d = 15 + -5d + 5d Combine like terms: -5d + 5d = 0 6 + 2d = 15 + 0 6 + 2d = 15 Add '-6' to each side of the equation. 6 + -6 + 2d = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 2d = 15 + -6 2d = 15 + -6 Combine like terms: 15 + -6 = 9 2d = 9 Divide each side by '2'. d = 4.5 Simplifying d = 4.5
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