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Simplifying 5(d + -6) + 7 = 3(d + 5) Reorder the terms: 5(-6 + d) + 7 = 3(d + 5) (-6 * 5 + d * 5) + 7 = 3(d + 5) (-30 + 5d) + 7 = 3(d + 5) Reorder the terms: -30 + 7 + 5d = 3(d + 5) Combine like terms: -30 + 7 = -23 -23 + 5d = 3(d + 5) Reorder the terms: -23 + 5d = 3(5 + d) -23 + 5d = (5 * 3 + d * 3) -23 + 5d = (15 + 3d) Solving -23 + 5d = 15 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -23 + 5d + -3d = 15 + 3d + -3d Combine like terms: 5d + -3d = 2d -23 + 2d = 15 + 3d + -3d Combine like terms: 3d + -3d = 0 -23 + 2d = 15 + 0 -23 + 2d = 15 Add '23' to each side of the equation. -23 + 23 + 2d = 15 + 23 Combine like terms: -23 + 23 = 0 0 + 2d = 15 + 23 2d = 15 + 23 Combine like terms: 15 + 23 = 38 2d = 38 Divide each side by '2'. d = 19 Simplifying d = 19
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