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Simplifying (5d + 16) + -1(4d + 7) = 0 Reorder the terms: (16 + 5d) + -1(4d + 7) = 0 Remove parenthesis around (16 + 5d) 16 + 5d + -1(4d + 7) = 0 Reorder the terms: 16 + 5d + -1(7 + 4d) = 0 16 + 5d + (7 * -1 + 4d * -1) = 0 16 + 5d + (-7 + -4d) = 0 Reorder the terms: 16 + -7 + 5d + -4d = 0 Combine like terms: 16 + -7 = 9 9 + 5d + -4d = 0 Combine like terms: 5d + -4d = 1d 9 + 1d = 0 Solving 9 + 1d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 1d = 0 + -9 1d = 0 + -9 Combine like terms: 0 + -9 = -9 1d = -9 Divide each side by '1'. d = -9 Simplifying d = -9
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