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Simplifying -7(d + 7) = d + 11 + 2d Reorder the terms: -7(7 + d) = d + 11 + 2d (7 * -7 + d * -7) = d + 11 + 2d (-49 + -7d) = d + 11 + 2d Reorder the terms: -49 + -7d = 11 + d + 2d Combine like terms: d + 2d = 3d -49 + -7d = 11 + 3d Solving -49 + -7d = 11 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -49 + -7d + -3d = 11 + 3d + -3d Combine like terms: -7d + -3d = -10d -49 + -10d = 11 + 3d + -3d Combine like terms: 3d + -3d = 0 -49 + -10d = 11 + 0 -49 + -10d = 11 Add '49' to each side of the equation. -49 + 49 + -10d = 11 + 49 Combine like terms: -49 + 49 = 0 0 + -10d = 11 + 49 -10d = 11 + 49 Combine like terms: 11 + 49 = 60 -10d = 60 Divide each side by '-10'. d = -6 Simplifying d = -6
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