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Simplifying 1.8(3d + -2) = 1.4(d + 5) Reorder the terms: 1.8(-2 + 3d) = 1.4(d + 5) (-2 * 1.8 + 3d * 1.8) = 1.4(d + 5) (-3.6 + 5.4d) = 1.4(d + 5) Reorder the terms: -3.6 + 5.4d = 1.4(5 + d) -3.6 + 5.4d = (5 * 1.4 + d * 1.4) -3.6 + 5.4d = (7 + 1.4d) Solving -3.6 + 5.4d = 7 + 1.4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1.4d' to each side of the equation. -3.6 + 5.4d + -1.4d = 7 + 1.4d + -1.4d Combine like terms: 5.4d + -1.4d = 4d -3.6 + 4d = 7 + 1.4d + -1.4d Combine like terms: 1.4d + -1.4d = 0.0 -3.6 + 4d = 7 + 0.0 -3.6 + 4d = 7 Add '3.6' to each side of the equation. -3.6 + 3.6 + 4d = 7 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 4d = 7 + 3.6 4d = 7 + 3.6 Combine like terms: 7 + 3.6 = 10.6 4d = 10.6 Divide each side by '4'. d = 2.65 Simplifying d = 2.65
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