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Simplifying 0.7d + 1 + 1.5d + -2 = 2.5 + d + 4 + -1.3d Reorder the terms: 1 + -2 + 0.7d + 1.5d = 2.5 + d + 4 + -1.3d Combine like terms: 1 + -2 = -1 -1 + 0.7d + 1.5d = 2.5 + d + 4 + -1.3d Combine like terms: 0.7d + 1.5d = 2.2d -1 + 2.2d = 2.5 + d + 4 + -1.3d Reorder the terms: -1 + 2.2d = 2.5 + 4 + d + -1.3d Combine like terms: 2.5 + 4 = 6.5 -1 + 2.2d = 6.5 + d + -1.3d Combine like terms: d + -1.3d = -0.3d -1 + 2.2d = 6.5 + -0.3d Solving -1 + 2.2d = 6.5 + -0.3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '0.3d' to each side of the equation. -1 + 2.2d + 0.3d = 6.5 + -0.3d + 0.3d Combine like terms: 2.2d + 0.3d = 2.5d -1 + 2.5d = 6.5 + -0.3d + 0.3d Combine like terms: -0.3d + 0.3d = 0.0 -1 + 2.5d = 6.5 + 0.0 -1 + 2.5d = 6.5 Add '1' to each side of the equation. -1 + 1 + 2.5d = 6.5 + 1 Combine like terms: -1 + 1 = 0 0 + 2.5d = 6.5 + 1 2.5d = 6.5 + 1 Combine like terms: 6.5 + 1 = 7.5 2.5d = 7.5 Divide each side by '2.5'. d = 3 Simplifying d = 3
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