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Simplifying 5d + -4(6d + 5) = 5 + -1(10 + 10d) Reorder the terms: 5d + -4(5 + 6d) = 5 + -1(10 + 10d) 5d + (5 * -4 + 6d * -4) = 5 + -1(10 + 10d) 5d + (-20 + -24d) = 5 + -1(10 + 10d) Reorder the terms: -20 + 5d + -24d = 5 + -1(10 + 10d) Combine like terms: 5d + -24d = -19d -20 + -19d = 5 + -1(10 + 10d) -20 + -19d = 5 + (10 * -1 + 10d * -1) -20 + -19d = 5 + (-10 + -10d) Combine like terms: 5 + -10 = -5 -20 + -19d = -5 + -10d Solving -20 + -19d = -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. -20 + -19d + 10d = -5 + -10d + 10d Combine like terms: -19d + 10d = -9d -20 + -9d = -5 + -10d + 10d Combine like terms: -10d + 10d = 0 -20 + -9d = -5 + 0 -20 + -9d = -5 Add '20' to each side of the equation. -20 + 20 + -9d = -5 + 20 Combine like terms: -20 + 20 = 0 0 + -9d = -5 + 20 -9d = -5 + 20 Combine like terms: -5 + 20 = 15 -9d = 15 Divide each side by '-9'. d = -1.666666667 Simplifying d = -1.666666667
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