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Simplifying 18 + -3(16 + -3d) = 2(6d + 3) 18 + (16 * -3 + -3d * -3) = 2(6d + 3) 18 + (-48 + 9d) = 2(6d + 3) Combine like terms: 18 + -48 = -30 -30 + 9d = 2(6d + 3) Reorder the terms: -30 + 9d = 2(3 + 6d) -30 + 9d = (3 * 2 + 6d * 2) -30 + 9d = (6 + 12d) Solving -30 + 9d = 6 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. -30 + 9d + -12d = 6 + 12d + -12d Combine like terms: 9d + -12d = -3d -30 + -3d = 6 + 12d + -12d Combine like terms: 12d + -12d = 0 -30 + -3d = 6 + 0 -30 + -3d = 6 Add '30' to each side of the equation. -30 + 30 + -3d = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -3d = 6 + 30 -3d = 6 + 30 Combine like terms: 6 + 30 = 36 -3d = 36 Divide each side by '-3'. d = -12 Simplifying d = -12
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