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Simplifying 5d + -2(6d + 5) = 5 + -1(10 + 10d) Reorder the terms: 5d + -2(5 + 6d) = 5 + -1(10 + 10d) 5d + (5 * -2 + 6d * -2) = 5 + -1(10 + 10d) 5d + (-10 + -12d) = 5 + -1(10 + 10d) Reorder the terms: -10 + 5d + -12d = 5 + -1(10 + 10d) Combine like terms: 5d + -12d = -7d -10 + -7d = 5 + -1(10 + 10d) -10 + -7d = 5 + (10 * -1 + 10d * -1) -10 + -7d = 5 + (-10 + -10d) Combine like terms: 5 + -10 = -5 -10 + -7d = -5 + -10d Solving -10 + -7d = -5 + -10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10d' to each side of the equation. -10 + -7d + 10d = -5 + -10d + 10d Combine like terms: -7d + 10d = 3d -10 + 3d = -5 + -10d + 10d Combine like terms: -10d + 10d = 0 -10 + 3d = -5 + 0 -10 + 3d = -5 Add '10' to each side of the equation. -10 + 10 + 3d = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 3d = -5 + 10 3d = -5 + 10 Combine like terms: -5 + 10 = 5 3d = 5 Divide each side by '3'. d = 1.666666667 Simplifying d = 1.666666667
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