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Simplifying 9d + -7 = 5d + 3(2d + 1) Reorder the terms: -7 + 9d = 5d + 3(2d + 1) Reorder the terms: -7 + 9d = 5d + 3(1 + 2d) -7 + 9d = 5d + (1 * 3 + 2d * 3) -7 + 9d = 5d + (3 + 6d) Reorder the terms: -7 + 9d = 3 + 5d + 6d Combine like terms: 5d + 6d = 11d -7 + 9d = 3 + 11d Solving -7 + 9d = 3 + 11d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-11d' to each side of the equation. -7 + 9d + -11d = 3 + 11d + -11d Combine like terms: 9d + -11d = -2d -7 + -2d = 3 + 11d + -11d Combine like terms: 11d + -11d = 0 -7 + -2d = 3 + 0 -7 + -2d = 3 Add '7' to each side of the equation. -7 + 7 + -2d = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -2d = 3 + 7 -2d = 3 + 7 Combine like terms: 3 + 7 = 10 -2d = 10 Divide each side by '-2'. d = -5 Simplifying d = -5
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