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Simplifying 5(d + 5) = 7(d + -2) Reorder the terms: 5(5 + d) = 7(d + -2) (5 * 5 + d * 5) = 7(d + -2) (25 + 5d) = 7(d + -2) Reorder the terms: 25 + 5d = 7(-2 + d) 25 + 5d = (-2 * 7 + d * 7) 25 + 5d = (-14 + 7d) Solving 25 + 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. 25 + 5d + -7d = -14 + 7d + -7d Combine like terms: 5d + -7d = -2d 25 + -2d = -14 + 7d + -7d Combine like terms: 7d + -7d = 0 25 + -2d = -14 + 0 25 + -2d = -14 Add '-25' to each side of the equation. 25 + -25 + -2d = -14 + -25 Combine like terms: 25 + -25 = 0 0 + -2d = -14 + -25 -2d = -14 + -25 Combine like terms: -14 + -25 = -39 -2d = -39 Divide each side by '-2'. d = 19.5 Simplifying d = 19.5
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