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Simplifying 0.42 + 0.92d + -3 = 3d + 7 + -4d Reorder the terms: 0.42 + -3 + 0.92d = 3d + 7 + -4d Combine like terms: 0.42 + -3 = -2.58 -2.58 + 0.92d = 3d + 7 + -4d Reorder the terms: -2.58 + 0.92d = 7 + 3d + -4d Combine like terms: 3d + -4d = -1d -2.58 + 0.92d = 7 + -1d Solving -2.58 + 0.92d = 7 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. -2.58 + 0.92d + d = 7 + -1d + d Combine like terms: 0.92d + d = 1.92d -2.58 + 1.92d = 7 + -1d + d Combine like terms: -1d + d = 0 -2.58 + 1.92d = 7 + 0 -2.58 + 1.92d = 7 Add '2.58' to each side of the equation. -2.58 + 2.58 + 1.92d = 7 + 2.58 Combine like terms: -2.58 + 2.58 = 0.00 0.00 + 1.92d = 7 + 2.58 1.92d = 7 + 2.58 Combine like terms: 7 + 2.58 = 9.58 1.92d = 9.58 Divide each side by '1.92'. d = 4.989583333 Simplifying d = 4.989583333
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