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Simplifying 18d + 4d + -6(d + 3) = 30 Reorder the terms: 18d + 4d + -6(3 + d) = 30 18d + 4d + (3 * -6 + d * -6) = 30 18d + 4d + (-18 + -6d) = 30 Reorder the terms: -18 + 18d + 4d + -6d = 30 Combine like terms: 18d + 4d = 22d -18 + 22d + -6d = 30 Combine like terms: 22d + -6d = 16d -18 + 16d = 30 Solving -18 + 16d = 30 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 16d = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 16d = 30 + 18 16d = 30 + 18 Combine like terms: 30 + 18 = 48 16d = 48 Divide each side by '16'. d = 3 Simplifying d = 3
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