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Simplifying 11d + 3(d + -7) = 4(7 + -2d) + 17 Reorder the terms: 11d + 3(-7 + d) = 4(7 + -2d) + 17 11d + (-7 * 3 + d * 3) = 4(7 + -2d) + 17 11d + (-21 + 3d) = 4(7 + -2d) + 17 Reorder the terms: -21 + 11d + 3d = 4(7 + -2d) + 17 Combine like terms: 11d + 3d = 14d -21 + 14d = 4(7 + -2d) + 17 -21 + 14d = (7 * 4 + -2d * 4) + 17 -21 + 14d = (28 + -8d) + 17 Reorder the terms: -21 + 14d = 28 + 17 + -8d Combine like terms: 28 + 17 = 45 -21 + 14d = 45 + -8d Solving -21 + 14d = 45 + -8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8d' to each side of the equation. -21 + 14d + 8d = 45 + -8d + 8d Combine like terms: 14d + 8d = 22d -21 + 22d = 45 + -8d + 8d Combine like terms: -8d + 8d = 0 -21 + 22d = 45 + 0 -21 + 22d = 45 Add '21' to each side of the equation. -21 + 21 + 22d = 45 + 21 Combine like terms: -21 + 21 = 0 0 + 22d = 45 + 21 22d = 45 + 21 Combine like terms: 45 + 21 = 66 22d = 66 Divide each side by '22'. d = 3 Simplifying d = 3
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