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Simplifying 5(d + 4) = 7(d + -1) Reorder the terms: 5(4 + d) = 7(d + -1) (4 * 5 + d * 5) = 7(d + -1) (20 + 5d) = 7(d + -1) Reorder the terms: 20 + 5d = 7(-1 + d) 20 + 5d = (-1 * 7 + d * 7) 20 + 5d = (-7 + 7d) Solving 20 + 5d = -7 + 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 = -7 + 7d + -7d Combine like terms: 5d + -7d = -2d 20 + -2d = -7 + 7d + -7d Combine like terms: 7d + -7d = 0 20 + -2d = -7 + 0 20 + -2d = -7 Add '-20' to each side of the equation. 20 + -20 + -2d = -7 + -20 Combine like terms: 20 + -20 = 0 0 + -2d = -7 + -20 -2d = -7 + -20 Combine like terms: -7 + -20 = -27 -2d = -27 Divide each side by '-2'. d = 13.5 Simplifying d = 13.5
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