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Simplifying 3(4 + -1d) + -30 = 21s + -6(3 + 4d) (4 * 3 + -1d * 3) + -30 = 21s + -6(3 + 4d) (12 + -3d) + -30 = 21s + -6(3 + 4d) Reorder the terms: 12 + -30 + -3d = 21s + -6(3 + 4d) Combine like terms: 12 + -30 = -18 -18 + -3d = 21s + -6(3 + 4d) -18 + -3d = 21s + (3 * -6 + 4d * -6) -18 + -3d = 21s + (-18 + -24d) Reorder the terms: -18 + -3d = -18 + -24d + 21s Add '18' to each side of the equation. -18 + 18 + -3d = -18 + -24d + 18 + 21s Combine like terms: -18 + 18 = 0 0 + -3d = -18 + -24d + 18 + 21s -3d = -18 + -24d + 18 + 21s Reorder the terms: -3d = -18 + 18 + -24d + 21s Combine like terms: -18 + 18 = 0 -3d = 0 + -24d + 21s -3d = -24d + 21s Solving -3d = -24d + 21s Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '24d' to each side of the equation. -3d + 24d = -24d + 24d + 21s Combine like terms: -3d + 24d = 21d 21d = -24d + 24d + 21s Combine like terms: -24d + 24d = 0 21d = 0 + 21s 21d = 21s Divide each side by '21'. d = s Simplifying d = s
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