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Simplifying 7(d + -2) = 6(d + 2) Reorder the terms: 7(-2 + d) = 6(d + 2) (-2 * 7 + d * 7) = 6(d + 2) (-14 + 7d) = 6(d + 2) Reorder the terms: -14 + 7d = 6(2 + d) -14 + 7d = (2 * 6 + d * 6) -14 + 7d = (12 + 6d) Solving -14 + 7d = 12 + 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. -14 + 7d + -6d = 12 + 6d + -6d Combine like terms: 7d + -6d = 1d -14 + 1d = 12 + 6d + -6d Combine like terms: 6d + -6d = 0 -14 + 1d = 12 + 0 -14 + 1d = 12 Add '14' to each side of the equation. -14 + 14 + 1d = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 1d = 12 + 14 1d = 12 + 14 Combine like terms: 12 + 14 = 26 1d = 26 Divide each side by '1'. d = 26 Simplifying d = 26
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