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Simplifying 7d + -14 = -1d + 19 + 11d Reorder the terms: -14 + 7d = -1d + 19 + 11d Reorder the terms: -14 + 7d = 19 + -1d + 11d Combine like terms: -1d + 11d = 10d -14 + 7d = 19 + 10d Solving -14 + 7d = 19 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. -14 + 7d + -10d = 19 + 10d + -10d Combine like terms: 7d + -10d = -3d -14 + -3d = 19 + 10d + -10d Combine like terms: 10d + -10d = 0 -14 + -3d = 19 + 0 -14 + -3d = 19 Add '14' to each side of the equation. -14 + 14 + -3d = 19 + 14 Combine like terms: -14 + 14 = 0 0 + -3d = 19 + 14 -3d = 19 + 14 Combine like terms: 19 + 14 = 33 -3d = 33 Divide each side by '-3'. d = -11 Simplifying d = -11
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