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Simplifying 7(d + -2) + 12 = 5(d + 4) Reorder the terms: 7(-2 + d) + 12 = 5(d + 4) (-2 * 7 + d * 7) + 12 = 5(d + 4) (-14 + 7d) + 12 = 5(d + 4) Reorder the terms: -14 + 12 + 7d = 5(d + 4) Combine like terms: -14 + 12 = -2 -2 + 7d = 5(d + 4) Reorder the terms: -2 + 7d = 5(4 + d) -2 + 7d = (4 * 5 + d * 5) -2 + 7d = (20 + 5d) Solving -2 + 7d = 20 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -2 + 7d + -5d = 20 + 5d + -5d Combine like terms: 7d + -5d = 2d -2 + 2d = 20 + 5d + -5d Combine like terms: 5d + -5d = 0 -2 + 2d = 20 + 0 -2 + 2d = 20 Add '2' to each side of the equation. -2 + 2 + 2d = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 2d = 20 + 2 2d = 20 + 2 Combine like terms: 20 + 2 = 22 2d = 22 Divide each side by '2'. d = 11 Simplifying d = 11
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