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Simplifying 6(d + 2) + d = 28 + 6(d + -1) Reorder the terms: 6(2 + d) + d = 28 + 6(d + -1) (2 * 6 + d * 6) + d = 28 + 6(d + -1) (12 + 6d) + d = 28 + 6(d + -1) Combine like terms: 6d + d = 7d 12 + 7d = 28 + 6(d + -1) Reorder the terms: 12 + 7d = 28 + 6(-1 + d) 12 + 7d = 28 + (-1 * 6 + d * 6) 12 + 7d = 28 + (-6 + 6d) Combine like terms: 28 + -6 = 22 12 + 7d = 22 + 6d Solving 12 + 7d = 22 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 12 + 7d + -6d = 22 + 6d + -6d Combine like terms: 7d + -6d = 1d 12 + 1d = 22 + 6d + -6d Combine like terms: 6d + -6d = 0 12 + 1d = 22 + 0 12 + 1d = 22 Add '-12' to each side of the equation. 12 + -12 + 1d = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 1d = 22 + -12 1d = 22 + -12 Combine like terms: 22 + -12 = 10 1d = 10 Divide each side by '1'. d = 10 Simplifying d = 10
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