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Simplifying (2d + 9) + -2(5d + 4) = 14 Reorder the terms: (9 + 2d) + -2(5d + 4) = 14 Remove parenthesis around (9 + 2d) 9 + 2d + -2(5d + 4) = 14 Reorder the terms: 9 + 2d + -2(4 + 5d) = 14 9 + 2d + (4 * -2 + 5d * -2) = 14 9 + 2d + (-8 + -10d) = 14 Reorder the terms: 9 + -8 + 2d + -10d = 14 Combine like terms: 9 + -8 = 1 1 + 2d + -10d = 14 Combine like terms: 2d + -10d = -8d 1 + -8d = 14 Solving 1 + -8d = 14 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8d = 14 + -1 Combine like terms: 1 + -1 = 0 0 + -8d = 14 + -1 -8d = 14 + -1 Combine like terms: 14 + -1 = 13 -8d = 13 Divide each side by '-8'. d = -1.625 Simplifying d = -1.625
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