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Simplifying 7(d + -7) + 2 = 9 Reorder the terms: 7(-7 + d) + 2 = 9 (-7 * 7 + d * 7) + 2 = 9 (-49 + 7d) + 2 = 9 Reorder the terms: -49 + 2 + 7d = 9 Combine like terms: -49 + 2 = -47 -47 + 7d = 9 Solving -47 + 7d = 9 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 7d = 9 + 47 Combine like terms: -47 + 47 = 0 0 + 7d = 9 + 47 7d = 9 + 47 Combine like terms: 9 + 47 = 56 7d = 56 Divide each side by '7'. d = 8 Simplifying d = 8
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