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Simplifying -6 = 3(5 + -1d) -6 = (5 * 3 + -1d * 3) -6 = (15 + -3d) Solving -6 = 15 + -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. -6 + 3d = 15 + -3d + 3d Combine like terms: -3d + 3d = 0 -6 + 3d = 15 + 0 -6 + 3d = 15 Add '6' to each side of the equation. -6 + 6 + 3d = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 3d = 15 + 6 3d = 15 + 6 Combine like terms: 15 + 6 = 21 3d = 21 Divide each side by '3'. d = 7 Simplifying d = 7
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