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Simplifying 5(d + 4) = 7(d + -2) Reorder the terms: 5(4 + d) = 7(d + -2) (4 * 5 + d * 5) = 7(d + -2) (20 + 5d) = 7(d + -2) Reorder the terms: 20 + 5d = 7(-2 + d) 20 + 5d = (-2 * 7 + d * 7) 20 + 5d = (-14 + 7d) Solving 20 + 5d = -14 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 20 + 5d + -7d = -14 + 7d + -7d Combine like terms: 5d + -7d = -2d 20 + -2d = -14 + 7d + -7d Combine like terms: 7d + -7d = 0 20 + -2d = -14 + 0 20 + -2d = -14 Add '-20' to each side of the equation. 20 + -20 + -2d = -14 + -20 Combine like terms: 20 + -20 = 0 0 + -2d = -14 + -20 -2d = -14 + -20 Combine like terms: -14 + -20 = -34 -2d = -34 Divide each side by '-2'. d = 17 Simplifying d = 17
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