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Simplifying 5(2d + 6) = 5 + -1(d + 4) Reorder the terms: 5(6 + 2d) = 5 + -1(d + 4) (6 * 5 + 2d * 5) = 5 + -1(d + 4) (30 + 10d) = 5 + -1(d + 4) Reorder the terms: 30 + 10d = 5 + -1(4 + d) 30 + 10d = 5 + (4 * -1 + d * -1) 30 + 10d = 5 + (-4 + -1d) Combine like terms: 5 + -4 = 1 30 + 10d = 1 + -1d Solving 30 + 10d = 1 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. 30 + 10d + d = 1 + -1d + d Combine like terms: 10d + d = 11d 30 + 11d = 1 + -1d + d Combine like terms: -1d + d = 0 30 + 11d = 1 + 0 30 + 11d = 1 Add '-30' to each side of the equation. 30 + -30 + 11d = 1 + -30 Combine like terms: 30 + -30 = 0 0 + 11d = 1 + -30 11d = 1 + -30 Combine like terms: 1 + -30 = -29 11d = -29 Divide each side by '11'. d = -2.636363636 Simplifying d = -2.636363636
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