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Simplifying 3(d + -11) = d + 6 + -11 Reorder the terms: 3(-11 + d) = d + 6 + -11 (-11 * 3 + d * 3) = d + 6 + -11 (-33 + 3d) = d + 6 + -11 Reorder the terms: -33 + 3d = 6 + -11 + d Combine like terms: 6 + -11 = -5 -33 + 3d = -5 + d Solving -33 + 3d = -5 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -33 + 3d + -1d = -5 + d + -1d Combine like terms: 3d + -1d = 2d -33 + 2d = -5 + d + -1d Combine like terms: d + -1d = 0 -33 + 2d = -5 + 0 -33 + 2d = -5 Add '33' to each side of the equation. -33 + 33 + 2d = -5 + 33 Combine like terms: -33 + 33 = 0 0 + 2d = -5 + 33 2d = -5 + 33 Combine like terms: -5 + 33 = 28 2d = 28 Divide each side by '2'. d = 14 Simplifying d = 14
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