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Simplifying 3(1 + -9) = 2 + -1(2d + 4) Combine like terms: 1 + -9 = -8 3(-8) = 2 + -1(2d + 4) Multiply 3 * -8 -24 = 2 + -1(2d + 4) Reorder the terms: -24 = 2 + -1(4 + 2d) -24 = 2 + (4 * -1 + 2d * -1) -24 = 2 + (-4 + -2d) Combine like terms: 2 + -4 = -2 -24 = -2 + -2d Solving -24 = -2 + -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. -24 + 2d = -2 + -2d + 2d Combine like terms: -2d + 2d = 0 -24 + 2d = -2 + 0 -24 + 2d = -2 Add '24' to each side of the equation. -24 + 24 + 2d = -2 + 24 Combine like terms: -24 + 24 = 0 0 + 2d = -2 + 24 2d = -2 + 24 Combine like terms: -2 + 24 = 22 2d = 22 Divide each side by '2'. d = 11 Simplifying d = 11
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