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Simplifying 2.1d + 18 = 2.16(d + 8) Reorder the terms: 18 + 2.1d = 2.16(d + 8) Reorder the terms: 18 + 2.1d = 2.16(8 + d) 18 + 2.1d = (8 * 2.16 + d * 2.16) 18 + 2.1d = (17.28 + 2.16d) Solving 18 + 2.1d = 17.28 + 2.16d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2.16d' to each side of the equation. 18 + 2.1d + -2.16d = 17.28 + 2.16d + -2.16d Combine like terms: 2.1d + -2.16d = -0.06d 18 + -0.06d = 17.28 + 2.16d + -2.16d Combine like terms: 2.16d + -2.16d = 0.00 18 + -0.06d = 17.28 + 0.00 18 + -0.06d = 17.28 Add '-18' to each side of the equation. 18 + -18 + -0.06d = 17.28 + -18 Combine like terms: 18 + -18 = 0 0 + -0.06d = 17.28 + -18 -0.06d = 17.28 + -18 Combine like terms: 17.28 + -18 = -0.72 -0.06d = -0.72 Divide each side by '-0.06'. d = 12 Simplifying d = 12
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