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Simplifying D + 6(d + -3) = 5(d + 2) Reorder the terms: D + 6(-3 + d) = 5(d + 2) D + (-3 * 6 + d * 6) = 5(d + 2) D + (-18 + 6d) = 5(d + 2) Reorder the terms: -18 + D + 6d = 5(d + 2) Reorder the terms: -18 + D + 6d = 5(2 + d) -18 + D + 6d = (2 * 5 + d * 5) -18 + D + 6d = (10 + 5d) Solving -18 + D + 6d = 10 + 5d Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '18' to each side of the equation. -18 + D + 18 + 6d = 10 + 18 + 5d Reorder the terms: -18 + 18 + D + 6d = 10 + 18 + 5d Combine like terms: -18 + 18 = 0 0 + D + 6d = 10 + 18 + 5d D + 6d = 10 + 18 + 5d Combine like terms: 10 + 18 = 28 D + 6d = 28 + 5d Add '-6d' to each side of the equation. D + 6d + -6d = 28 + 5d + -6d Combine like terms: 6d + -6d = 0 D + 0 = 28 + 5d + -6d D = 28 + 5d + -6d Combine like terms: 5d + -6d = -1d D = 28 + -1d Simplifying D = 28 + -1d
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