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Simplifying 0.7d + 1 = 1.5d + -2 Reorder the terms: 1 + 0.7d = 1.5d + -2 Reorder the terms: 1 + 0.7d = -2 + 1.5d Solving 1 + 0.7d = -2 + 1.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1.5d' to each side of the equation. 1 + 0.7d + -1.5d = -2 + 1.5d + -1.5d Combine like terms: 0.7d + -1.5d = -0.8d 1 + -0.8d = -2 + 1.5d + -1.5d Combine like terms: 1.5d + -1.5d = 0.0 1 + -0.8d = -2 + 0.0 1 + -0.8d = -2 Add '-1' to each side of the equation. 1 + -1 + -0.8d = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -0.8d = -2 + -1 -0.8d = -2 + -1 Combine like terms: -2 + -1 = -3 -0.8d = -3 Divide each side by '-0.8'. d = 3.75 Simplifying d = 3.75
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