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Simplifying 7(d + 6) = 2(d + 4) Reorder the terms: 7(6 + d) = 2(d + 4) (6 * 7 + d * 7) = 2(d + 4) (42 + 7d) = 2(d + 4) Reorder the terms: 42 + 7d = 2(4 + d) 42 + 7d = (4 * 2 + d * 2) 42 + 7d = (8 + 2d) Solving 42 + 7d = 8 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 42 + 7d + -2d = 8 + 2d + -2d Combine like terms: 7d + -2d = 5d 42 + 5d = 8 + 2d + -2d Combine like terms: 2d + -2d = 0 42 + 5d = 8 + 0 42 + 5d = 8 Add '-42' to each side of the equation. 42 + -42 + 5d = 8 + -42 Combine like terms: 42 + -42 = 0 0 + 5d = 8 + -42 5d = 8 + -42 Combine like terms: 8 + -42 = -34 5d = -34 Divide each side by '5'. d = -6.8 Simplifying d = -6.8
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