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Simplifying 2(-4d + -4) + 4 = 15 + -1(9d + -1) Reorder the terms: 2(-4 + -4d) + 4 = 15 + -1(9d + -1) (-4 * 2 + -4d * 2) + 4 = 15 + -1(9d + -1) (-8 + -8d) + 4 = 15 + -1(9d + -1) Reorder the terms: -8 + 4 + -8d = 15 + -1(9d + -1) Combine like terms: -8 + 4 = -4 -4 + -8d = 15 + -1(9d + -1) Reorder the terms: -4 + -8d = 15 + -1(-1 + 9d) -4 + -8d = 15 + (-1 * -1 + 9d * -1) -4 + -8d = 15 + (1 + -9d) Combine like terms: 15 + 1 = 16 -4 + -8d = 16 + -9d Solving -4 + -8d = 16 + -9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d' to each side of the equation. -4 + -8d + 9d = 16 + -9d + 9d Combine like terms: -8d + 9d = 1d -4 + 1d = 16 + -9d + 9d Combine like terms: -9d + 9d = 0 -4 + 1d = 16 + 0 -4 + 1d = 16 Add '4' to each side of the equation. -4 + 4 + 1d = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 1d = 16 + 4 1d = 16 + 4 Combine like terms: 16 + 4 = 20 1d = 20 Divide each side by '1'. d = 20 Simplifying d = 20
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