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Simplifying 2(0.7d + 1) = 2(1.5d + -2) Reorder the terms: 2(1 + 0.7d) = 2(1.5d + -2) (1 * 2 + 0.7d * 2) = 2(1.5d + -2) (2 + 1.4d) = 2(1.5d + -2) Reorder the terms: 2 + 1.4d = 2(-2 + 1.5d) 2 + 1.4d = (-2 * 2 + 1.5d * 2) 2 + 1.4d = (-4 + 3d) Solving 2 + 1.4d = -4 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 2 + 1.4d + -3d = -4 + 3d + -3d Combine like terms: 1.4d + -3d = -1.6d 2 + -1.6d = -4 + 3d + -3d Combine like terms: 3d + -3d = 0 2 + -1.6d = -4 + 0 2 + -1.6d = -4 Add '-2' to each side of the equation. 2 + -2 + -1.6d = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -1.6d = -4 + -2 -1.6d = -4 + -2 Combine like terms: -4 + -2 = -6 -1.6d = -6 Divide each side by '-1.6'. d = 3.75 Simplifying d = 3.75
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