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Simplifying (1 + -3d) = 2(-4d + 7) Remove parenthesis around (1 + -3d) 1 + -3d = 2(-4d + 7) Reorder the terms: 1 + -3d = 2(7 + -4d) 1 + -3d = (7 * 2 + -4d * 2) 1 + -3d = (14 + -8d) Solving 1 + -3d = 14 + -8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8d' to each side of the equation. 1 + -3d + 8d = 14 + -8d + 8d Combine like terms: -3d + 8d = 5d 1 + 5d = 14 + -8d + 8d Combine like terms: -8d + 8d = 0 1 + 5d = 14 + 0 1 + 5d = 14 Add '-1' to each side of the equation. 1 + -1 + 5d = 14 + -1 Combine like terms: 1 + -1 = 0 0 + 5d = 14 + -1 5d = 14 + -1 Combine like terms: 14 + -1 = 13 5d = 13 Divide each side by '5'. d = 2.6 Simplifying d = 2.6
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